2016 AMC 10A 第 3 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。

3.

Ben 每花一美元买贝果,David 就少花 2525 美分。Ben 比 David 多付 $12.50\$12.50。他们两人在贝果店一共花了多少钱?

For every dollar Ben spent on bagels, David spent 2525 cents less. Ben paid $12.50\$12.50 more than David. How much did they spend in the bagel store together?

$37.50\$37.50

$50.00\$50.00

$87.50\$87.50

$90.00\$90.00

$92.50\$92.50

答案:C
知识点:比与比例钱币
难度评级:870
解答:

Ben 每花一美元,David 花 7575 美分,所以两人的差额是 2525 美分。总差额为 $12.50\$12.50,也就是 Ben 花费的四分之一。

Ben 花了 12.50÷0.25=5012.50\div0.25=50 美元,David 花了 37.5037.50 美元。两人共花 87.5087.50 美元。

所以正确答案是 C

For each dollar Ben spent, David spent 7575 cents, so the difference was 2525 cents. The total difference $12.50\$12.50 is therefore one quarter of Ben's spending.

Ben spent 12.50÷0.25=5012.50\div0.25=50 dollars, and David spent 37.5037.50 dollars. Together they spent 87.5087.50 dollars.

Thus, the correct answer is C.

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