AMC 8 1996 Problem 10

AMC8 1996 年第 10 题

比与比例★★☆☆☆

When Walter drove up to the gasoline pump, he noticed that his gasoline tank was 1/8 full. He purchased 7.5 gallons of gasoline for 10 dollars. With this additional gasoline, his gasoline tank was then 5/8 full. The number of gallons of gasoline his tank holds when it is full is

当 Walter 开车到加油站时，他注意到他的油箱只有 1/8 满。他以 10 美元的价格买了 7.5 加仑汽油。加了这些额外的汽油后，他的油箱变为 5/8 满。油箱装满时的容量是多少加仑？

A.8.75
B.10
C.11.5
D.15
E.22.5

正确答案 · Correct Answer

解析 · Solution

Solution 1

The tank started at

\displaystyle \frac{1}{8}

full, and ended at

\displaystyle \frac{5}{8}

full. Therefore, Walter filled

\displaystyle \frac{5}{8}

\displaystyle \frac{1}{8}

\displaystyle \frac{4}{8}

\displaystyle \frac{1}{2}

of the tank.

If Walter fills half the tank with 7.5 gallons, then Walter can fill two halves of the tank (or a whole tank) with 7.5×2 = 15 gallons, giving an answer of

D

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