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7.15 Ratios and Proportions
A ratio is a comparison.
The units must be the same.
They are written as a fraction or with a colon.
A proportion is two ratios set equal.
They may be direct or inverse.
They are solved by cross-multiplication.
: 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)
: 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
: 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 days
1 1/3 days
: A team won 25 games in a 40-game season. Find the ratio of games won to games lost.
: 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?
: If 3 gallons of milk cost $6, how many bottles can you buy for $24?
: 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.
: If 4 planes can carry 800 passengers, how many planes are needed to carry 1600 passengers?
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