1996 AMC 8 第 10 题

先试着解答 1996 AMC 8 第 10 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1996 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

10.

Walter 开到加油泵前时,注意到油箱是 18\dfrac18 满。他用 $10\$10 买了 7.57.5 加仑汽油。加完后,油箱变为 58\dfrac58 满。这个油箱装满时能容纳多少加仑汽油?
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.\$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
答案:D
知识点:分数比与比例
小提示:
从 18\dfrac18 满到 58\dfrac58 满,增加了 12\dfrac12 个油箱。
Going from 18\dfrac18 to 58\dfrac58 full is an increase of 12\dfrac12 of a tank
大提示:
如果半个油箱是 7.57.5 加仑,那么一个满油箱是它的两倍。
If half a tank is 7.57.5 gallons, double it for a full tank
解答:
增加量是 58−18=12\dfrac58 - \dfrac18 = \dfrac12 个油箱,对应 7.57.5 加仑。
因此满油箱容量为 2⋅7.5=152 \cdot 7.5 = 15 加仑。
所以正确答案是 D。
The increase is 58−18=12\dfrac58 - \dfrac18 = \dfrac12 of a tank, which equals 7.57.5 gallons.
So a full tank holds 2⋅7.5=152 \cdot 7.5 = 15 gallons.
Thus, the correct answer is D .
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