## Solving Word Problems with Ratios

Hey guys! Welcome to this video tutorial on word problems involving ratios .

Ratios are what we use to compare certain number values. People everywhere use ratios. We use, or at least we should, use ratios when we cook. For example, if I were to make macaroni and cheese for a group of 6 people and I knew that a \(\frac{1}{2}\) cup of macaroni would feed one person, then I could multiply 6 times \(\frac{1}{2}\) to get 3. Well, 3 to 6 is my ratio, and this ratio tells me that for every 3 cups of macaroni that I have, I can serve 6 people.

But hang on. What if I told you that 1 cup of macaroni to every 2 persons is the same ratio as 3:6? Well, it’s the same ratio. 3:6 can be reduced to 1:2 because both 3 and 6 are divisible by 3, which is how we get \(\frac{1}{2}\). So, even though these two ratios look different, they are actually the same.

Letâ€™s take a look at a few word problems, and practice working through them.

## Example Problem 1

There are 7 kids in a classroom with green shirts, 8 with red shirts, and 10 with yellow shirts. What is the ratio of people with red and yellow shirts? 7:10 8:7 8:10 4:5

Alright, so letâ€™s look at our problem, and see what it is asking us to find, and write out the information that we have been given.

So, there are 7 kids with green shirts; so, letâ€™s write that down. We have Green: 7. We have 8 kids with red shirts, so that is Red: 8, and we have 10 kids with yellow shirts, Yellow: 10.

So now letâ€™s look at each of our options and eliminate. It canâ€™t be 7:10, we donâ€™t care about the green shirts. It canâ€™t be 8:7, because again we donâ€™t care about the green shirts. Option C is correct; that is the exact number ratio we found. Now, look closely at D here. Is 4:5 not the same thing as 8:10? 8 and 10 are both divisible by 2, and when we reduce them both down we get 4:5, so D is also correct!

Great, now letâ€™s look at another word problem.

## Example Problem 2

A vegetable tray contains 12 baby carrots, 27 cherry tomatoes, 18 florets of broccoli, and 45 slices of red bell peppers. For every 2 baby carrots, there are 3_____.

Alright, letâ€™s start off the same way that we did our last problem; read through the problem, write down what we know, and find out what is being asked.

So, this vegetable tray contains 12 baby carrots. It contains 27 cherry tomatoes. We have 18 broccoli florets and 45 slices of red bell peppers.

When we look at all of our information written down, we can see that we have 18 broccoli florets; so there is our answer. For every 2 baby carrots, there are 3 broccoli florets.

Another way to check and verify that these two ratios are equal is by setting them up in fraction form and cross multiplying.

\(\frac{2}{3}=\frac{12}{18}\)

When we cross multiply, we get \(36=36\).

You can practice finding ratios anywhere you go, like finding the ratio of boys to girls in your class.

I hope that this video helped you to understand how to solve word problems with ratios.

See you guys next time!

## Frequently Asked Questions

How do you figure out ratios.

A ratio is simply a comparison between two amounts. When figuring out ratios, it is important to consider what two values are being compared. This can be expressed in fraction form, in word form, or simply by using a colon.

When writing a ratio that is comparing a â€śpartâ€ť to the â€śwholeâ€ť, list the â€śpartâ€ť first, and the â€śwholeâ€ť second. For example, if you eat \(3\) slices of pizza out of \(10\) slices total, you have eaten \(3\) out of \(10\) slices. This can be expressed as \(\frac{3}{10}\) or \(3\):\(10\), where the part is listed first, and the whole is listed second.

Ratios can also be â€śpartâ€ť to â€śpartâ€ť comparisons. For example, if there are \(7\) boys in a class, and \(9\) girls in a class, the ratio of boys to girls is \(7\):\(9\). Make sure to match the order of the ratio to the order presented in the scenario.

## What are basic ratios?

Ratios are used to directly compare two amounts. Basic ratios are used in many real-world situations, which makes it a valuable skill to master. Basic ratios can be expressed as fractions, words, or by using a colon. For example, \(\frac{4}{5}\), â€śfour to fiveâ€ť, and \(4\):\(5\), all represent the same ratio.

## What are the 3 ways to write a ratio?

A ratio is the comparison between two quantities. There is more than one way to write a ratio. For example, ratios can be written using a fraction bar, using a colon, or using words.

\(\frac{5}{8}\) \(5\):\(8\) \(\text{five to eight}\)

## What are equivalent ratios?

Ratios that have the same value are considered equivalent ratios . For example, if you slice a cake into \(10\) pieces, and you eat \(2\) pieces, you have eaten â€ś\(2\) out of \(10\)â€ť pieces, or \(2\):\(10\). If you had sliced the cake into \(20\) pieces, and eaten \(4\) pieces, you would have eaten the same amount of cake. Eating â€ś4 out of 20â€ť pieces is the same amount as eating â€ś2 out of 10â€ť pieces. Equivalent ratios occur when you multiply or divide both quantities of the ratio by the same amount. \(\frac{50}{100}\) is equivalent to \(\frac{5}{10}\) because when you divide both quantities of the ratio by \(10\), the result is \(\frac{5}{10}\).

## How do you find an equivalent ratio?

Equivalent ratios can be thought of as equivalent fractions. Two ratios are equivalent if they represent the same amount. For example \(\frac{1}{2}\) and \(\frac{5}{10}\) are equivalent because they represent the same amount. Equivalent ratios are found by multiplying or dividing the numerator and denominator by the same amount. For example, \(3\):\(4\) and \(15\):\(20\) are equivalent ratios because both values in \(3\):\(4\) can be multiplied by \(5\) in order to create the ratio \(15\):\(20\).

## How do you solve ratio word problems?

Ratios have many real-world applications. Word problems that involve ratios will usually require you to find an unknown value by finding an equivalent ratio.

For example, if you made \($170\) washing \(10\) cars, how much money did you make per car? The ratio of dollars earned compared to cars washed is \(\frac{170}{10}\). We can divide both of these values by \(10\) in order to solve for the dollars earned for washing \(1\) car. \(\frac{170\div10}{10\div10}=\frac{17}{1}\). This means that \($17\) was earned per car. Many word problems involving ratios require you to create equivalent ratios. Remember, as long as you multiply or divide both values of a ratio by the same amount, you have not changed the ratio.

## How do you write a ratio in words?

Ratios are used to compare two quantities. There are generally two ways to write a ratio in word form. When a ratio is considered a â€śpart-out-of-wholeâ€ť ratio, the phrase â€śout ofâ€ť can be used. For example, if there is a pizza with \(8\) slices, and you eat \(2\) of those slices, you have eaten â€ś\(2\) out of \(8\)â€ť slices. However, some ratios are considered â€śpart-to-partâ€ť ratios. For example, when comparing \(3\) green marbles to \(8\) red marbles, the phrase â€ś\(3\) to \(8\)â€ť can be used.

## How do you explain ratios and proportions?

Ratios describe the relationship between two amounts. Ratios can be described as part-to-part or part-to-whole. For example, in a new litter of puppies, \(4\) of the pups are female and \(3\) of the pups are male. The part-to-part ratio \(4\):\(3\) would be used to compare female to male pups. When comparing female pups to the whole liter, the part-to-whole ratio \(4\):\(7\) would be used. Similarly, the ratio of male pups to total pups would be \(3\):\(7\). If two ratios are equivalent, they are said to be proportional. For example, if \(50\) meters of rope weighs \(5\) kilograms, and \(150\) meters of rope weighs \(15\) kilograms, the two amounts are proportional. \(50\):\(5\) is equivalent to \(150\):\(15\) because both values of the first ratio are multiplied by \(3\) in order to create the second ratio.

## What is a ratio, short answer?

A ratio is a comparison between two amounts. Ratios can be written using a fraction bar \((\frac{3}{4})\), using a colon (\(3\):\(4\)), or using words (â€śthree to fourâ€ť). Ratios can be â€śpart-to-partâ€ť or â€śpart-to-wholeâ€ť. For example, \(5\) green marbles and \(7\) red marbles would be a â€śpart-to-partâ€ť ratio (\(5\):\(7\)). Solving \(95\) problems correctly out of \(100\) on a math test would be a â€śpart-to-wholeâ€ť ratio (\(95\):\(100\)).

## Practice Questions

Cross multiply in order to determine which pair of ratios are equivalent.

3:5 and 4:9

6:7 and 7:8

7:8 and 35:40

12:25 and 14:17

The correct answer is 7:8 and 35:40. We can use cross multiplication to determine if two ratios are equivalent. Letâ€™s look at the ratios for Choice C, and letâ€™s set these up as fractions: \(\frac{7}{8}\) and \(\frac{35}{40}\)

Now, cross multiply by finding the product of \(8Ă—35\) and \(7Ă—40\). In both cases our product is 280, so we know that the original ratios are equivalent.

Which ratio is equivalent to \(\frac{36}{45}\)?

The correct answer is 4:5. We can simplify ratios with the same strategy that we use to simplify fractions. In the ratio \(\frac{36}{45}\) we can divide the numerator and denominator by 9. \(\frac{36}{45}\) now becomes \(\frac{4}{5}\) or 4:5.

James has a bag full of red, blue, and yellow candy. There are 10 red candies, 9 blue candies, and 11 yellow candies. What is the ratio of blue candies to total candies in the bag? Simplify the ratio if possible.

The correct answer is 3:10. The total number of blue candies is 9, and the total number of candies in the bag is 30. If we set this ratio up as a fraction, we have \(\frac{9}{30}\). This fraction can be simplified if we divide the numerator and denominator by 3. Our final answer is \(\frac{3}{10}\) or 3:10.

Alex is counting the coins in his pocket, and finds that he has 14 quarters, 7 nickels, and 4 dimes. What is the ratio of quarters to nickels? Simplify if possible.

The correct answer is 2:1. We can compare the number of quarters to the number of nickels by setting up a ratio. There are 14 quarters and 7 nickels, so our ratio would be 14:7. Choice B says 14:7, but we should simplify when possible. 14:7 simplifies to 2:1.

In Mr. Jenkinâ€™s 4th grade class there are 14 boys and 17 girls. What is the ratio of boys to girls? Simplify if possible.

The correct answer is 14:17. We can express this comparison of boys to girls as a ratio. 14 boys and 17 girls can be described as the ratio 14:17, or the fraction \(\frac{14}{17}\). 14 and 17 do not have any factors in common, so 14:17 is in simplest form.

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by Mometrix Test Preparation | This Page Last Updated: July 27, 2023

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## Word Problems: Ratios

A ratio is a comparison of two numbers. It can be written with a colon ( 1 : 5 ) , or using the word "to" ( 1 to 5 ) , or as a fraction: 1 5

A backyard pond has 12 sunfish and 30 rainbow shiners. Write the ratio of sunfish to rainbow shiners in simplest form .

Write the ratio as a fraction.

Now reduce the fraction .

So the ratio of sunfish to rainbow shiners is 2 : 5 .

(Note that the ratio of rainbow shiners to sunfish is the reciprocal : 5 2 or 5 : 2 .)

Read word problems carefully to check whether the ratio you're being asked for is a fraction of the total or the ratio of one part to another part .

Ms. Ekpebe's class has 32 students, of which 20 are girls. Write the ratio of girls to boys.

Careful! Don't write 20 32 ... that's the fraction of the total number of students that are girls. We want the ratio of girls to boys.

Subtract 20 from 32 to find the number of boys in the class.

32 − 20 = 12

There are 12 boys in the class. So, ratio of girls to boys is 20 : 12 .

You can reduce this ratio, the same way you reduce a fraction. Both numbers have a common fact of 4 , so divide both by 4 .

In simplest form, this ratio is 5 : 3 .

Some ratio word problems require you to solve a proportion.

A recipe calls for butter and sugar in the ratio 2 : 3 . If you're using 6 cups of butter, how many cups of sugar should you use?

The ratio 2 : 3 means that for every 2 cups of butter, you should use 3 cups of sugar.

Here you're using 6 cups of butter, or 3 times as much.

So you need to multiply the amount of sugar by 3 .

3 × 3 = 9

So, you need to use 9 cups of sugar.

You can think of this in terms of equivalent fractions :

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## Ratio Word Problems Calculator

How does the ratio word problems calculator work, what 3 formulas are used for the ratio word problems calculator.

- a:b ratio means a + b = c total options
- Expected Number of A = a * n/c
- Expected Number of B = b * n/c

## What 3 concepts are covered in the Ratio Word Problems Calculator?

Example calculations for the ratio word problems calculator.

- The ratio of girls to boys is 5:4. There are 110 girls. How many boys are there?
- The ratio of girls to boys is 7:5. There are 120 girls. How many boys are there?
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## HOW TO SOLVE RATIO WORD PROBLEMS

In this section, you will learn how word problems on ratio can be solved.

Let us look at the stuff which are required to solve word problems on ratio.

For example,

If two persons A & B are earning $400 and $ 500 respectively per week, the ratio of their earnings is

A : B = 400 : 500

When we simplify, we get

A : B = 4 : 5

From the ratio 4:5, if we want to get the earning of A and B, we have to multiply the terms of the ratio 4 & 5 by 100.

From the above point, it is very clear that if we want to get original quantity from the ratio, we have to multiply both the terms of the ratio by the same number.

In the above problem, we know that we have to multiply by 100. In case, we do not know what number to be multiplied, we have to multiply by "x" or any alphabet.

For example, the ages of two persons are in the ratio

Age of the 1st person = 5x

Age of the 2nd person = 6x

(The value of 'x' to be found)

If a quantity increases or decreases in the ratio a : b, then new quantity is

= 'b' of the original quantity divided by 'a'

new quantity = (b x original quantity) / a

Increment Ratio :

In a ratio, if the second term is greater than the first term, it is called increment ratio.

Examples: 7 : 8 , 4 : 5, 1 : 5.

Decrement Ratio :

In a ratio, if the second term is smaller than the first term, it is called decrement ratio.

Examples : 8 : 7, 4 : 3, 9 : 7.

How to find increment ratio :

A quantity called 'A' has been increased to '3A'.

Now, to find the ratio in which it has been increased, just take the coefficient of A in the changed quantity '3A'. It is '3'.

Now we have to write this '3' as a fraction. That is 3/1. From the fraction '3/1', we have to form a increment ratio. Because, the original quantity has been increased.

Therefore, the increment ratio from '3/1' is 1 : 3.

How to find decrement ratio :

A quantity called 'A' has been decreased to '0.25A'.

Now, to find the ratio in which it has been decreased, just take the coefficient of A in the changed quantity '0.25A'. It is '0.25'.

Now we have to write this '0.25' as a fraction. That is '1/4'. From the fraction '1/4', we have to form a decrement ratio. Because, the original quantity has been decreased.

Therefore, the decrement ratio from '1/4' is

Let us see how the above explained stuff help us to solve the ratio word problem given below.

Find in what ratio, will the total wages of the workers of a factory be increased or decreased if there be a reduction in the number of workers in the ratio 15:11 and an increment in their wages in the ratio 22:25.

Let us understand the given information. There are two information given in the question.

1. In a factory, there is a reduction in the number of workers in the ratio 15:11.

2. There is an increment in their wages in the ratio 22:25.

Target of the question :

In what ratio, will the total wages of the factory be increased or decreased ?

Let 'x' be the original number of workers

Let 'y' be the wages per worker.

Total wages = (No. of workers) x (wages per worker)

Before the given two changes,

Total wages = xy or 1xy

After reduction in the number of workers in the ratio

Number of workers in the factory is

= 11x / 15 (see stuff 2)

After increment in wages in the ratio

Wages per worker is

= 25y / 22 (see stuff 2)

After the two changes,

Total wages = (11x/15) x (25y/22)

Total wages = (5/6)xy = (0.833)xy

Total wages = 1xy ----(1)

After the given two changes,

Total wages = (0.83)xy ----(2)

Comparing (1) and (2), it is very clear that total wages has been decreased when the two changes are applied.

That is, total wages has been decreased from (1xy) to (0.83)xy

Now, to find the ratio in which it has been decreased, just take the coefficient of 'xy' in total wages after the two changes applied.

It is '0.83'.

Now we have to write this '0.83' as a fraction.

That is '5/6'.

From the fraction '5/6', we have to form a decrement ratio.

That is '5 : 6' (See stuff 4).

Therefore, the total wages of the factory will be decreased in the ratio

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## Recent Articles

## Solving Word Problems With Inequalities

Aug 28, 23 12:37 AM

## Solving Word Problems Using Inequalities

Aug 28, 23 12:35 AM

## Factoring Quadratic Trinomials Worksheet

Aug 27, 23 11:08 PM

- Word Problems on Ratio

We will learn how to divide a quantity in a given ratio and its application in the word problems on ratio.

1. John weights 65.7 kg. If he reduces his weight in the ratio 5 : 4, find his reduced weight.

Let the previous weight be 5x.

x = \(\frac{65.7}{5}\)

Therefore, the reduce weight = 4 Ă— 13.14 = 52.56 kg.

2. Robin leaves $ 1245500 behind. According to his wish, the money is to be divided between his son and daughter in the ratio 3 : 2. Find the sum received by his son.

We know if a quantity x is divided in the ratio a : b then the two parts are \(\frac{ax}{a + b}\) and \(\frac{bx}{a + b}\).

Therefore, the sum received by his son = \(\frac{3}{3 + 2}\) Ă— $ 1245500

= \(\frac{3}{5}\) Ă— $ 1245500

= 3 Ă— $ 249100

= $ 747300

3. Two numbers are in the ratio 3 : 2. If 2 is added to the first and 6 is added to the second number, they are in the ratio 4 : 5. Find the numbers.

Let the numbers be 3x and 2x.

According to the problem,

\(\frac{3x + 2}{2x + 6}\) = \(\frac{4}{5}\)

âźą 5(3x + 2) = 4

âźą 15x + 10 = 8x + 24

âźą 15x â€“ 8x = 24 - 10

âźą x = \(\frac{14}{7}\)

Therefore, the original numbers are: 3x = 3 Ă— 2 = 6 and 2x = 2 Ă— 2 = 4.

Thus, the numbers are 6 and 4.

4. If a quantity is divided in the ratio 5 : 7, the larger part is 84. Find the quantity.

Let the quantity be x.

Then the two parts will be \(\frac{5x}{5 + 7}\) and \(\frac{7x}{5 + 7}\).

Hence, the larger part is 84, we get

\(\frac{7x}{5 + 7}\) = 84

âźą \(\frac{7x}{12}\) = 84

âźą 7x = 84 Ă— 12

âźą 7x = 1008

âźą x = \(\frac{1008}{7}\)

Therefore, the quantity is 144.

â—Ź Ratio and proportion

- Basic Concept of Ratios
- Important Properties of Ratios
- Ratio in Lowest Term
- Types of Ratios
- Comparing Ratios
- Arranging Ratios
- Dividing into a Given Ratio
- Divide a Number into Three Parts in a Given Ratio
- Dividing a Quantity into Three Parts in a Given Ratio
- Problems on Ratio
- Worksheet on Ratio in Lowest Term
- Worksheet on Types of Ratios
- Worksheet on Comparison on Ratios
- Worksheet on Ratio of Two or More Quantities
- Worksheet on Dividing a Quantity in a Given Ratio
- Definition of Continued Proportion
- Mean and Third Proportional
- Word Problems on Proportion
- Worksheet on Proportion and Continued Proportion
- Worksheet on Mean Proportional
- Properties of Ratio and Proportion
- 10th Grade Math

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Welcome to our Ratio Word Problems page. Here you will find our range of Fifth Grade Ratio Problem worksheets which will help your child apply and practice their Math skills to solve a range of ratio problems.

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Here you will find a range of problem solving worksheets about ratio.

The sheets involve using and applying knowledge to ratios to solve problems.

The sheets have been put in order of difficulty, with the easiest first.

Each problem sheet comes complete with an answer sheet.

Using these sheets will help your child to:

- apply their ratio skills;
- apply their knowledge of fractions;
- solve a range of word problems.
- Ratio Problems 1
- PDF version
- Ratio Problems 2
- Ratio Problems 3
- Ratio Problems 4

## Ratio and Probability Problems

- Ration and Probability Problems 1
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## More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

## More Ratio & Unit Rate Worksheets

These sheets are a great way to introduce ratio of one object to another using visual aids.

The sheets in this section are at a more basic level than those on this page.

We also have some ratio and proportion worksheets to help learn these interrelated concepts.

- Ratio Part to Part Worksheets
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- Unit Rate Problems 6th Grade

More 5th Grade Math Problems

Here you will find our selection of free 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

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## Finding all Possibilities Problems

This is our finding all possibilities area where all the worksheets involve finding many different answers to the problem posed.

The sheets here encourage systematic working and logical thinking.

The problems are different in that, there is typically only one problem per sheet, but the problem may take quite a while to solve!

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This is our logic problems area where all the worksheets involve using reasoning and logical thinking skills.

The sheets here are designed to get children thinking logically and puzzling the problems out.

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## Fraction Problems

Here you will find a range of fraction word problems to help your child apply their fraction learning.

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Use the generator to make customized ratio worksheets. Experiment with the options to see what their effect is.

## Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

## Algebra: Ratio Word Problems

Related Pages Two-Term Ratio Word Problems More Ratio Word Problems Algebra Lessons

In these lessons, we will learn how to solve ratio word problems that have two-term ratios or three-term ratios.

Ratio problems are word problems that use ratios to relate the different items in the question.

The main things to be aware about for ratio problems are:

- Change the quantities to the same unit if necessary.
- Write the items in the ratio as a fraction .
- Make sure that you have the same items in the numerator and denominator.

## Ratio Problems: Two-Term Ratios

Example 1: In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?

Solution: Step 1: Assign variables: Let x = number of red sweets.

Step 2: Solve the equation. Cross Multiply 3 Ă— 120 = 4 Ă— x 360 = 4 x

Answer: There are 90 red sweets.

Example 2: John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?

Solution: Step 1: Sentence: Jane has 20 marbles, all of them either red or blue. Assign variables: Let x = number of blue marbles for Jane 20 â€“ x = number red marbles for Jane

Step 2: Solve the equation

Cross Multiply 3 Ă— x = 2 Ă— (20 â€“ x ) 3 x = 40 â€“ 2 x

John has 12 blue marbles. So, he has 12 â€“ 8 = 4 more blue marbles than Jane.

Answer: John has 4 more blue marbles than Jane.

## How To Solve Word Problems Using Proportions?

This is another word problem that involves ratio or proportion.

Example: A recipe uses 5 cups of flour for every 2 cups of sugar. If I want to make a recipe using 8 cups of flour. How much sugar should I use?

## How To Solve Proportion Word Problems?

When solving proportion word problems remember to have like units in the numerator and denominator of each ratio in the proportion.

- Biologist tagged 900 rabbits in Bryer Lake National Park. At a later date, they found 6 tagged rabbits in a sample of 2000. Estimate the total number of rabbits in Bryer Lake National Park.
- Mel fills his gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it costs to fill an 18 gallon tank? 3 If 4 US dollars can be exchanged for 1.75 Euros, how many Euros can be obtained for 144 US dollars?

## Ratio problems: Three-term Ratios

Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?

Solution: Step 1: Assign variables: Let x = amount of corn

Step 2: Solve the equation Cross Multiply 2 Ă— x = 3 Ă— 5 2 x = 15

Answer: The mixture contains 7.5 pounds of corn.

Example 2: Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5. If the store has 20 blue T-shirts, how many T-shirts does it have altogether?

Solution: Step 1: Assign variables: Let x = number of red shirts and y = number of green shirts

Step 2: Solve the equation Cross Multiply 3 Ă— 20 = x Ă— 4 60 = 4 x x = 15

5 Ă— 20 = y Ă— 4 100 = 4 y y = 25

The total number of shirts would be 15 + 25 + 20 = 60

Answer: There are 60 shirts.

## Algebra And Ratios With Three Terms

Let’s study how algebra can help us think about ratios with more than two terms.

Example: There are a total of 42 computers. Each computer runs one of three operating systems: OSX, Windows, Linux. The ratio of the computers running OSX, Windows, Linux is 2:5:7. Find the number of computers that are running each of the operating systems.

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## How Do You Write a Ratio From a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into a math problem. In this tutorial, you'll see how to take the information given in a word problem and write a ratio. Then, reduce the ratio and explain its meaning. See it all in this tutorial!

- word problem
- simplest form
- reduce fraction
- explain ratio
- explain meaning

## Background Tutorials

Ratio definitions.

## What's a Ratio?

Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!

## Working with Ratios

## How Do You Find Equivalent Ratios?

Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio. Equivalent ratios have different numbers but represent the same relationship. In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Take a look!

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- \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
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- How do you solve word problems?
- To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
- How do you identify word problems in math?
- Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
- Is there a calculator that can solve word problems?
- Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
- What is an age problem?
- An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.

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- High School Math Solutions – Systems of Equations Calculator, Elimination A system of equations is a collection of two or more equations with the same set of variables. In this blog post,... Read More

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Solving word problems using proportions How do we write ratios? Two common types of ratios we'll see are part to part and part to whole. For example, when we make lemonade: The ratio of lemon juice to sugar is a part-to-part ratio. It compares the amount of two ingredients. The ratio of lemon juice to lemonade is a part-to-whole ratio.

This video focuses on how to solve ratio word problems. In particular, I show students the trick of multiplying each term in the ratio by x to help set up an...

Discover how to solve ratio problems with a real-life example involving indoor and outdoor playtimes. Learn to use ratios to determine the number of indoor and outdoor playtimes in a class with a 2:3 ratio and 30 total playtimes. Created by Sal Khan. Questions Tips & Thanks Sort by: Top Voted Annet Torres 5 years ago

AboutTranscript. This video teaches solving ratio word problems, using examples like Yoda Soda for guests, fish ratios in a tank, ice cream sundae ingredients, and dog color ratios at a park. Mastering these techniques helps students tackle real-world math challenges. Questions. Tips & Thanks.

Solving Word Problems with Ratios Transcript FAQs Practice Hey guys! Welcome to this video tutorial on word problems involving ratios. Ratios are what we use to compare certain number values. People everywhere use ratios. We use, or at least we should, use ratios when we cook.

What types of word problems can we solve with proportions? Intro to ratios Learn Intro to ratios Basic ratios Part:whole ratios Ratio review Practice Up next for you: Basic ratios Get 5 of 7 questions to level up! Visualize ratios Learn Ratios with tape diagrams

Solving ratio problems with tables. Ratio tables. Equivalent ratios. Equivalent ratios: recipe. Equivalent ratios. Equivalent ratio word problems. ... Equivalent ratio word problems. Google Classroom. Problem. A fruit basket is filled with 8 8 8 8 bananas, 3 3 3 3 oranges, 5 5 5 5 apples, and 6 6 6 6 kiwis.

0:00 / 26:59 Intro Solve Ratio Word Problems Derek Banas 1.24M subscribers 13K views 2 years ago Learn Algebra In this video I'll show you how to solve multiple types of Ratio Word...

Updated: 11/23/2021 Where Are Ratios? Ratios are everywhere around us. Try these on for size: A 5 oz. bag of gummy bears is $1.49. Is it a better deal to get the 144 oz. bag for $15.99? You've...

Read word problems carefully to check whether the ratio you're being asked for is a fraction of the total or the ratio of one part to another part . Example 2: Ms. Ekpebe's class has 32 32 students, of which 20 20 are girls. Write the ratio of girls to boys. Careful!

How to Solve Ratio Word Problems 53,245 views May 23, 2018 485 Dislike Share Mometrix Academy 90.1K subscribers Thanks for watching our Academy review channel! SUBSCRIBE: https://goo.gl/tYpMcp đź‘Ť...

Table of Contents What Is a Ratio? Ratio Problem Solving How to Find Ratios in Word Problems How to Solve Ratios How to Do Ratios with Unknown Variables Ratio Example...

How does the Ratio Word Problems Calculator work? Free Ratio Word Problems Calculator - Solves a ratio word problem using a given ratio of 2 items in proportion to a whole number. This calculator has 1 input. What 3 formulas are used for the Ratio Word Problems Calculator? a:b ratio means a + b = c total options Expected Number of A = a * n/c

http://www.mathtestace.comhttp://www.mathtestace.com/fraction-word-problems/Need help solving word problems with ratios and fractions? This video will walk y...

Stuff 1: For example, If two persons A & B are earning $400 and $ 500 respectively per week, the ratio of their earnings is A : B = 400 : 500 When we simplify, we get A : B = 4 : 5 From the ratio 4:5, if we want to get the earning of A and B, we have to multiply the terms of the ratio 4 & 5 by 100.

Solution: We know if a quantity x is divided in the ratio a : b then the two parts are a x a + b and b x a + b. 3. Two numbers are in the ratio 3 : 2. If 2 is added to the first and 6 is added to the second number, they are in the ratio 4 : 5. Find the numbers.

Ratio Word Problems. Here you will find a range of problem solving worksheets about ratio. The sheets involve using and applying knowledge to ratios to solve problems. The sheets have been put in order of difficulty, with the easiest first. Each problem sheet comes complete with an answer sheet. Using these sheets will help your child to: apply ...

Ratio Worksheets. Columns: Rows: (These determine the number of problems) Level: Level 1: write a ratio. Level 2: write a ratio and simplify it. Numbers used (only for levels 1 & 2): Range from to with step. Level 3: word problems.

This math video tutorial provides a basic introduction into ratio and proportion word problems. Here is a list of examples and practice problems:My Website:...

Step 1: Assign variables: Let x = number of red sweets. Write the items in the ratio as a fraction. Step 2: Solve the equation. Cross Multiply 3 Ă— 120 = 4 Ă— x 360 = 4 x Isolate variable x Answer: There are 90 red sweets. Example 2: John has 30 marbles, 18 of which are red and 12 of which are blue.

This video focuses on how to solve ratio word problem in algebra 1. I show how to carefully translate the verbal portions of the problem in algebraic expressions and equations, then...

Sometimes the hardest part of a word problem is figuring out how to turn the words into a math problem. In this tutorial, you'll see how to take the information given in a word problem and write a ratio. Then, reduce the ratio and explain its meaning. See it all in this tutorial!

Full pad Examples Frequently Asked Questions (FAQ) How do you solve word problems? To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform.