Word ProblemsGrade 6

6.RP.3 — Ratios & Rates in the Real World

CCSS6.RP.3

Read each problem carefully, then use ratio and rate reasoning to find the answer.

  1. 1.A car travels 180 miles in 3 hours at a constant speed. How many miles does the car travel per hour?
  2. 2.A grocery store sells 5 apples for $2.50. At this rate, how much would 12 apples cost?
  3. 3.A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker uses 9 cups of flour, how many cups of sugar are needed?
  4. 4.A runner completes 4 laps in 10 minutes. At this rate, how many laps will the runner complete in 25 minutes?
  5. 5.A map has a scale of 1 inch = 50 miles. Two cities are 7 inches apart on the map. What is the actual distance between the two cities?
  6. 6.A store is offering a 25% discount on a jacket that originally costs $80. How much money will a customer save?
  7. 7.There are 120 students in 6th grade. If 45% of them participate in after-school clubs, how many students participate in after-school clubs?
  8. 8.A faucet leaks at a rate of 3 gallons every 4 hours. How many gallons will leak in 24 hours?
  9. 9.A factory produces 560 toy cars in 8 hours. How many toy cars does it produce per hour?
  10. 10.A swimming pool is being filled at a rate of 150 gallons per hour. How many gallons will be in the pool after 6 hours?
  11. 11.At a fruit stand, oranges are sold at a ratio of 3 oranges for $1.50. Complete the equivalent ratio table: if you buy 6, 9, and 12 oranges, how much does each cost? What is the unit price per orange?
  12. 12.A cyclist rides 48 miles in 4 hours. At this same unit rate, how long will it take the cyclist to ride 72 miles?
  13. 13.A student answered 35 out of 40 questions correctly on a test. What percent of the questions did the student answer correctly?
  14. 14.A bag of dog food weighs 15 pounds. How many ounces does the bag weigh? (1 pound = 16 ounces)
  15. 15.A tank holds 6 liters of water. There are 1,000 milliliters in 1 liter. How many milliliters of water does the tank hold?
  16. 16.A school bought 8 boxes of markers. Each box contains 24 markers. The school paid a total of $48. What is the cost per marker?
  17. 17.A car uses 2 gallons of gas to travel 56 miles. How many miles per gallon does the car get, and how far can it travel on 7 gallons?
  18. 18.A class has 18 girls and 12 boys. Write the ratio of girls to boys in simplest form.
  19. 19.A store marks up the price of a shirt from $15 to $24. What is the percent increase in price?
  20. 20.It takes 5 workers 6 days to complete a project. If the same total amount of work is shared equally among 10 workers working at the same rate, how many days will it take them to finish?
  21. 21.A recipe that serves 4 people uses 2 pounds of pasta. How many pounds of pasta are needed to serve 14 people?
  22. 22.A store sells trail mix for $3.60 per pound. How much would 2.5 pounds of trail mix cost?