1996 AMC 8 Problem 10

Attempt Problem 10 of the 1996 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 1996 AMC 8 solutions, or check the answer key.

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10.

When Walter drove up to the gasoline pump, he noticed that his gasoline tank was 18\dfrac18 full. He purchased 7.57.5 gallons of gasoline for $10. With this additional gasoline, his gasoline tank was then 58\dfrac58 full. The number of gallons of gasoline his tank holds when it is full is

8.758.75

1010

11.511.5

1515

22.522.5

Answer: D
Concepts:fractionratio and proportion
Difficulty rating: 860
Solution:

The increase is 5818=12\dfrac58 - \dfrac18 = \dfrac12 of a tank, which equals 7.57.5 gallons.

So a full tank holds 27.5=152 \cdot 7.5 = 15 gallons.

Thus, the correct answer is D .

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