AMC8 1996

AMC8 1996 · Q10

AMC8 1996 · Q10. It mainly tests Fractions, Arithmetic misc.

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

当Walter开车到加油泵时，他注意到他的油箱有 $\frac{1}{8}$ 满。他买了7.5加仑汽油，花了\$10。加了这部分汽油后，他的油箱有 $\frac{5}{8}$ 满。他的油箱满时容纳的加仑数是

(A) 8.75 8.75

(B) 10 10

(D) 15 15

(E) 22.5 22.5

Answer

Correct choice: (D)

正确答案：（D）

Solution

Answer (D): The gasoline tank going from $\frac{1}{8}$ to $\frac{5}{8}$ full represents an increase of $\frac{5}{8}-\frac{1}{8}=\frac{1}{2}$ tank. Since half a tank is 7.5 gallons, it follows that a full tank is $2\times 7.5=15$ gallons.

答案（D）：汽油箱从 $\frac{1}{8}$ 满到 $\frac{5}{8}$ 满表示增加了 $\frac{5}{8}-\frac{1}{8}=\frac{1}{2}$ 箱。因为半箱是 7.5 加仑，所以一整箱是 $2\times 7.5=15$ 加仑。

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