Ratio and Proportion Word Problems (B) - Solve all ratio and proportion problems

Sep 23, 2026

Uploaded by Cipher

A ratio and proportion practice set that teaches students to compare quantities and solve proportion equations. The worksheet provides directions for solving proportions by setting up a/b = c/d, cross-multiplying, and using unit rates by dividing to find amounts per one unit. Students complete eight word problems involving fruit mixes, gas mileage, recipes, map distances, and a time-and-distance challenge, then use the answer key to verify solutions.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Ratio and Proportion Practice

Problem Solving Directions

Word Problems 1-7

Challenge Problem 8

Answer Key

Name: Ratio and Proportion Word Problems (B) Directions: Solve each word problem. Show all of your work. Remember: A ratio compares two quantities. A proportion is an equation showing two ratios are equal. To solve a proportion: set up a/b = c/d, then cross multiply and solve. Unit rate: divide to find the amount per one unit. 1. A fruit salad contains 10 strawberries, 6 blueberries, and 4 grapes. Write the ratio of strawberries to total fruit in simplest form. Write it three ways. Show your work: 2. A car travels 150 miles on 5 gallons of gas. At this same rate, how far can it travel on 12 gallons? Show your work: 3. A baker uses 3 cups of sugar for every 4 cups of flour. If the baker uses 18 cups of flour, how many cups of sugar are needed? Show your work: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 4. A train travels 360 miles in 4 hours. At this same rate, how long will it take the train to travel 270 miles? Show your work: 5. On a map, 2 inches represents 75 real miles. If the distance between two cities on the map is 7.5 inches, how many real miles apart are they? Show your work: 6. A lemonade recipe calls for 5 lemons for every 2 liters of water. How many lemons are needed to make 10 liters of lemonade? Show your work: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 7. A trail mix recipe uses 3 cups of nuts for every 2 cups of dried fruit. A hiker wants to make 20 total cups of trail mix. How many cups of nuts and how many cups of dried fruit does she need? Show your work: Challenge Problem 8. Two cities are 4.5 inches apart on a map where 1 inch = 60 miles. A driver averages 45 miles per hour. If he leaves at 9:00 a. m. , what time will she arrive? Show your work: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY 1.) 1. ) Answer: 1:2 (or 1/2 or 1 to 2) Steps: Total: 10+6+4 = 20 pieces of fruit → 10:20 → GCF(10,20)= 10 → 10÷10 : 20÷10 = 1:2 2.) 2. ) Answer: 360 miles Steps: Unit rate: 150 ÷ 5 = 30 miles per gallon → 30 × 12 = 360 miles → OR: 150/5 = x/12 → x = 360 3.) 3. ) Answer: 13.5 cups of sugar Steps: 3/4 = x/18 → 4x = 3 × 18 = 54 → x = 54 ÷ 4 = 13.5 cups 4.) 4. ) Answer: 3 hours Steps: Unit rate: 360 ÷ 4 = 90 miles per hour → 270 ÷ 90 = 3 hours → OR: 360/4 = 270/x → x = 3 5.) 5. ) Answer: 281.25 miles Steps: 2/75 = 7.5/x → 2x = 75 × 7.5 = 562.5 → x = 562.5 ÷ 2 = 281.25 miles 6.) 6. ) Answer: 25 lemons Steps: 5/2 = x/10 → 10 ÷ 2 = 5 → multiply both by 5 → 5 × 5 = 25 lemons 7.) 7. ) Answer: 12 cups of nuts, 8 cups of dried fruit Steps: Ratio 3:2 → 3+2 = 5 parts total → 20 ÷ 5 = 4 cups per part → Nuts: 3 × 4 = 12 cups Dried fruit: 2 × 4 = 8 cups Check: 12+8 = 20 ✓ 8.) 8. ) Answer: 3:00 p.m. Steps: Real distance: 4.5 × 60 = 270 miles → Travel time: 270 ÷ 45 = 6 hours Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What is a ratio, and what is a proportion in these problems?

A ratio compares two quantities, and a proportion is an equation showing two ratios are equal.

How do you solve a proportion using cross multiplication?

Set up a/b = c/d, then cross multiply and solve the resulting equation for the unknown value.

How do you find a distance or quantity using a unit rate?

Use division to find the amount per one unit, then multiply by the number of units needed for the situation.

Sep 23, 2026

Uploaded by Cipher