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 Judi 忘带钱,她的七个朋友每人额外支付 $2.50\$2.50 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 $2.50\$2.50 to cover her portion of the total bill. What was the total bill?

$120\$120

$128\$128

$140\$140

$144\$144

$160\$160

答案:C
知识点:钱币
难度评级:770
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文字解答:

Judi 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 7$2.50=$17.50.7 \cdot \$2.50 = \$17.50.

因为每个人原本应付相同金额,所以总账单为 8$17.50=$140.8 \cdot \$17.50 = \$140.

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 7$2.50=$17.50.7 \cdot \$2.50 = \$17.50.

As everyone paid the same amount, we can conclude that the total bill is 8$17.50=$140.8 \cdot \$17.50 = \$140.

Thus, C is the correct answer.

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