Proportion Word Problems
More Lessons for Grade 9 Math
Math Worksheets
Videos, worksheets, solutions, and activities to help Algebra students learn how to solve word problems that involve proportions.
Proportion Word Problems - Math Help
Students learn that a proportion is an equation that states that two ratios are equal. Students then learn the properties of proportion, and are asked to solve for x in given proportions, and to solve word problems involving proportions.
Example: If a car gets 20 miles to the gallon, how many gallons of gas will it use to travel 180 miles?
How to create a proportion and solve it.
Example: Crayola can make 2400 crayons in 4 minutes. How many can be made in 15 min? How long will it take to make 18,000?
Two problems showing how to use proportions to solve certain word problems.
Examples:
(1) Jacob ran 10 miles in 80 minutes. At that rate how far would he run in 2.5 hours?
(2) Mark bought 12 cookies at $2.70. At that rate how much would it cost him to buy 20 cookies?
This video demonstrates how to setup and solve a proportion word problem. We must make sure to have the same units in the numerators and the denominators, then we can cross multiply and solve for our unknown.
Examples:
(1) Biologists 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.
(2) Mel fills his gas tank with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it cost to fill an 18 gallon tank?
(3) If twelve pairs of jeans cost $513.72, how much would four pairs cost?
(4) If 4 U.S. dollars can be exchanged for 1.75 Euros, how many Euros can be obtained for 144 U.S. dollars?
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