2013 AMC 8 第 4 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。
4.
八个朋友在餐馆吃饭，并同意平均分摊账单。因为朱迪忘带钱，她的七个朋友每人额外支付 来替她支付她应付的部分。总账单是多少？
Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra to cover her portion of the total bill. What was the total bill?
答案：C
小提示：
七个朋友合起来支付了朱迪的那一份
The seven friends together paid Judi’s share.
大提示：
朱迪的那一份等于每个朋友额外支付金额的 倍
Judi’s share is times the extra amount each friend paid.
视频讲解：
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文字解答：
朱迪应付的那一份由大家额外支付的钱完全覆盖，所以她应付的金额为
因为每个人原本应付相同金额，所以总账单为
所以正确答案是 C。
Since Judi’s portion was fully covered by everyone’s contributions, the portion of the bill she was responsible for was equal to
As everyone paid the same amount, we can conclude that the total bill is
Thus, C is the correct answer.
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