## Ratio word problems calculator

Find here an unlimited supply of worksheets with simple word problems involving ratios, meant for 6th-8th grade math. In level 1the problems ask for a specific ratio such as, " Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts? In level 2the problems are the same but the ratios are supposed to be simplified.

Level 3 contains varied word problems, similar to these: A bag contains 60 marbles, some blue and some green. The ratio of blue marbles to green ones is 1 : 5. How many blue marbles are there? If there are passion fruit juice bottles, then how many juice bottles in total are there?

Options include choosing the number of problems, the amount of workspace, font size, a border around each problem, and more. The worksheets can be generated as PDF or html files. Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the worksheet in html format, push the button " View in browser " or " Make html worksheet ". Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:.

Use the generator to make customized ratio worksheets.

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Experiment with the options to see what their effect is. Basic instructions for the worksheets Each worksheet is randomly generated and thus unique.

To get a different worksheet using the same options: PDF format: come back to this page and push the button again. Html format: simply refresh the worksheet page in your browser window. Ready-made ratio worksheets What is the ratio given in the word problem? What is the ratio given in the word problem?Problem 1 :.

The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. Find the age of the youngest boy. John weighs If he is going to reduce his weight in the ratio 7 : 6, find his new weight. He is going to reduce his weight in the ratio We can use the following hint to find his new weight, after it is reduced in the ratio 7 : 6.

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So, John's new weight is The ratio of the no. If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the no. Solution :.

Sum of the terms in the given ratio is. Given : Number of new girls admitted in the school is Let x be the no. Given : The ratio after the new admission is 2 : 3. Use cross product rule. So, the number of new boys admitted in the school is The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ratio 7 : 9.

From the given ratio of incomes 4 : 5. The ratio of the prices of two houses was 16 : Find the original price of the first house. After increment in prices, the ratio of prices becomes Then, original price of the first house is. Apart from the word problems given above, if you need more word problems on ratio and proportion, please click the following links. Ratio and Proportion Word Problems - 1. Ratio and Proportion Word Problems - 2.

If you have any feedback about our math content, please mail us :. We always appreciate your feedback. You can also visit the following web pages on different stuff in math. Variables and constants. Writing and evaluating expressions. Solving linear equations using elimination method. Solving linear equations using substitution method.

Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring.

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Solving quadratic equations by quadratic formula. Solving quadratic equations by completing square. Nature of the roots of a quadratic equations. Sum and product of the roots of a quadratic equations.Formula for percentage.

## Ratio Word Problems Calculator

Finding the average. Basic math formulas Algebra word problems. Types of angles. Area of irregular shapes Math problem solver. Math skills assessment. Compatible numbers. Surface area of a cube. Your email is safe with us. We will only use it to inform you about new math lessons. Follow me on Pinterest. Everything you need to prepare for an important exam! K tests, GED math test, basic math tests, geometry tests, algebra tests.

Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius! Real Life Math Skills Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball. All right reserved. Homepage Free math problems solver! Free math problems solver! Member Login. Introduction Homepage Math blog Pre-algebra Pre-algebra lessons Algebra Algebra lessons Advanced algebra Geometry Geometry lessons Trigonometry lessons Math by grades Math by grade Math tests Online math tests Math vocabulary quizzes Applied arithmetic Basic math word problems Consumer math Baseball math Math for nurses Interesting math topics Fractions Ancient numeration system Set notation Math resources Other math websites Basic math worksheets Algebra worksheets Geometry worksheets Preschool math worksheets First grade math worksheets Second grade math worksheets Basic math formulas Basic math glossary Basic math calculator Algebra solver Educational math software Online educational videos Private math tutors Ask a math question Careers in math The Basic math blog.

Proportion calculator The proportion calculator will help you solve proportion problems with ease and with the click of a button.This lesson will show you how to solve four easy ratio word problems and three challenging ratio word problems that require more thinking.

In a small business, 40 of the employees are men and 30 of the employees are women. What is ratio of women to men? Example 2: The length of a rectangular garden is 20 feet and the width is 15 feet. What is ratio of length to width? Example 3: A hybrid car can go miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?

Although the problem does not say to find the ratio, it is a ratio word problem. What you need to do is to first write the ratio of number of miles the car can travel to the number of gallons of gas the car has. Then, write the ratio in simplest form.

So you can go 50 miles on 1 gallon of gas. Example 4: Suppose the width of a soccer field 60 meters and the length is meters. What is the ratio in simplest form of the length to the area of the field? Example 5: A geometry test has 30 questions. What is the ratio of questions from chapter 5 to the other questions on the test?

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There are a total of 30 - 6 or 24 other questions on the geometry test. Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumes in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to total number of students in the class still the same? Therefore, the ratio is still the same.

Formula for percentage. Finding the average. Basic math formulas Algebra word problems. Types of angles. Area of irregular shapes Math problem solver. Math skills assessment. Compatible numbers. Surface area of a cube. Your email is safe with us. We will only use it to inform you about new math lessons.

Follow me on Pinterest. Everything you need to prepare for an important exam! K tests, GED math test, basic math tests, geometry tests, algebra tests.

Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius! Real Life Math Skills Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.Their difference 32 what are the numbers?

Determines the ages for an age difference word problem. The sum of their ages is What is Elgas age?

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Given a selection of coins and an amount, this determines the least amount of coins needed to reach that total. Solves the word problem, how many lines can be formed from n points no 3 of which are collinear.

Given two people with a salary and annual raise amount, this determines how long it takes for the person with the lower salary to catch the person with the higher salary. Calculates the word problem for what two consecutive integers, if summed up or multiplied together, equal a number entered.

Determines decay based on an initial mass and decay percentage and time. Calculates the amount of time that it takes for a person traveling at one speed to catch a person traveling at another speed when one person leaves at a later time. Given two numbers with a sum of s where one number is n greater than another, this calculator determines both numbers. Given the 3 items of a markup word problem, cost, markup percentage, and sale price, this solves for any one of the three given two of the items.

This works as a markup calculator, markdown calculator. What is the markup rate? Given the 3 items of a percent word problem, Reduced Price, percent off, and full price, this solves for any one of the three given two of the items. This takes two or three fractions of ownership in some good or object, and figures out what remaining fraction is left over.

Determines population growth based on a doubling time. Determines population growth based on an exponential growth model. Solves a ratio word problem using a given ratio of 2 items in proportion to a whole number. Determines a necessary amount of a Solution given two solution percentages and 1 solution amount.

Given an initial principal amount, interest rate on Fund 1, interest rate on Fund 2, and a total interest paid, calculates the amount invested in each fund. Finds the sum of n consecutive integers, even or odd as well.

Finds five consecutive integers, if applicable, who have a sum equal to a number. Finds four consecutive integers, if applicable, who have a sum equal to a number. Finds three consecutive integers, if applicable, who have a sum equal to a number.

A discount and savings word problem using 2 people and full prices versus discount prices.Ratio problems are word problems that use ratios to relate the different items in the question. In a bag of red and green sweets, the ratio of red sweets to green sweets is If the bag contains green sweets, how many red sweets are there?

Write the items in the ratio as a fraction. Isolate variable x. 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? Step 1 : Sentence: Jane has 20 marbles, all of them either red or blue. We get the ratio from John John has 30 marbles, 18 of which are red and 12 of which are blue.

We use the same ratio for Jane. A special cereal mixture contains rice, wheat and corn in the ratio of If a bag of the mixture contains 3 pounds of rice, how much corn does it contain? 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? Write the items in the ratios as fractions. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page.

## Algebra: Ratio Word Problems

Please submit your feedback or enquiries via our Feedback page. In these lessons, we will learn how to solve ratio word problems that have two-term ratios or three-term ratios. Related Topics: More Ratio Problems Algebra Word Problems 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: 1. Change the quantities to the same unit if necessary.

### Ratio word problems

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 This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties. Correct Answer :. Let's Try Again :. Try to further simplify.