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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation7.15 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: 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 days5 days10 days Q 2: In the proportion x:y = z:d, Solve for d in terms of x,y, and z.d = yz/xd = xy/zd = zx/y Q 3: 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 1/2 days1 1/3 days2 days Q 4: A team won 25 games in a 40-game season. Find the ratio of games won to games lost.5/45/34/5 Q 5: 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?786 Q 6: If 3 gallons of milk cost \$6, how many bottles can you buy for \$24?151412 Q 7: 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.112120110 Q 8: If 4 planes can carry 800 passengers, how many planes are needed to carry 1600 passengers?81210 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!