Ratios and Proportions - Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation - kwizNET Math/Science/English Homeschool/Afterschool/Tutoring Lessons/Worksheets/Quizzes/Trivia

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation 7.15 Ratios and Proportions

Ratios Facts:

A ratio is a comparison.

The units must be the same.

They are written as a fraction or with a colon.

Proportions:

A proportion is two ratios set equal.

They may be direct or inverse.

They are solved by cross-multiplication.

Q 1: Two children weighing 30 and 40 pounds balance a teeter totter(seesaw). How many feet from the fulcrum must the heavier boy sit if the lighter boy is 8 feet from the fulcrum? 8 6 7

Q 2: In the proportion x:y = z:d, Solve for d in terms of x,y, and z. d = yz/x d = xy/z d = zx/y

Q 3: Jan's car uses 35 gallons of gas to drive 250 miles. At this rate approximately how many gallons of gas will she need for a trip of 800 miles. 110 120 112

Q 4: If 30 people construct a structure in 4 days. How long will it take for 40 people to construct the same structure? 3 days 5 days 4 days

Q 5: If 4 planes can carry 800 passengers, how many planes are needed to carry 1600 passengers? 12 10 8

Q 6: If 3 men can paint a house in 2 days, how long will it take 2 men to do the same job? (Hint: Inverse relationship: fewer men - more days to paint the house. 3/2 = 2/x ) 2 days 2 1/2 days 1 1/3 days

Q 7: If 4 men can do a job in 10 days. How many days does it take 2 men to do the same job? (Hint: Inverse proportion) 20 days 5 days 10 days

Q 8: At 'a' cents per can, what is the cost of 'b' cases of soda if there are 15 cans in a case? 15a 13ab 15ab

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