2011 AMC 8 第 10 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
10.
Gotham City 的出租车起步价为 ，涵盖前 英里；之后的收费标准为 每额外 英里。你计划给司机 小费。用 最多可以乘坐多少英里？
The taxi fare in Gotham City is for the first mile and additional mileage charged at the rate for each additional mile. You plan to give the driver a tip. How many miles can you ride for ?
小提示：
剩余车费用来按每十分之一英里 美分购买额外距离
The remaining fare buys extra distance at cents per tenth of a mile.
大提示：
先扣除小费和前半英里的车费
Set aside the tip and the first half-mile fare first.
解答：
小费固定为 ，从总额中减去后剩 。这大于 ，所以再减去前半英里的车费，并把 英里计入总距离。
现在还有 可用于额外里程。收费标准为 每 英里，等价于 每 英里。因此这笔钱还能乘坐 英里。总距离为 英里。
所以正确答案是 C。
There is a guaranteed tip, so we can subtract that from the total, leaving This is greater than so we can subtract that and add miles to the total distance.
We now have to use for additional miles. per mile is the same as for mile. That means one can ride for more miles with this much money. This leaves a total of miles.
Thus, C is the correct answer.
其他年份的第 10 题
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