2014 AMC 8 Problem 5

Attempt Problem 5 of the 2014 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2014 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

5.

Margie’s car can go 3232 miles on a gallon of gas, and gas currently costs $4\$4 per gallon. How many miles can Margie drive on $20\$20 worth of gas?
64 64
128 128
160 160
320 320
640 640
Answer: C
Concepts:ratemoney
Small hint:
First find how many gallons $20\$20 buys.
Big hint:
Multiply the gallons by 3232 miles per gallon.
Solution:
With $20\$20, Margie can buy 204=5\frac{20}{4}=5 gallons of gas.
At 3232 miles per gallon, she can drive 5⋅32=1605\cdot32=160 miles.
Thus, C is the correct answer.
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