2011 AMC 10A 第 1 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。

1.

一个手机套餐每月费用为 $20\$20,外加每条短信 55¢,以及超过 3030 小时后每分钟 1010 美分。Michelle 一月份发送了 100100 条短信,并通话 30.530.5 小时。她需要支付多少钱?

A cell phone plan costs $20\$20 each month, plus 55¢ per text message sent, plus 1010¢ for each minute used over 3030 hours. In January Michelle sent 100100 text messages and talked for 30.530.5 hours. How much did she have to pay?

$24.00\$24.00

$24.50\$24.50

$25.50\$25.50

$28.00\$28.00

$30.00\$30.00

答案:D
知识点:钱币单位换算
难度评级:720
解答:

月费为 $20\$20。短信费用为 此外,她的通话时间超过套餐的 3030 小时 .5.5 小时,也就是 3030 分钟。 1005 cents=500 cents=$5 100 \cdot 5 \text{ cents} = 500 \text{ cents} = \$5

因此超时通话费用为 3010 cents=300 cents=$3. 30 \cdot 10 \text{ cents} = 300 \text{ cents} = \$3.

总费用为 $20+$5+$3=$28. \$20 + \$5 + \$3 = \$28.

所以正确答案是 D

Michelle has to pay $20\$20 for the monthly fee. She also has to pay 1005 cents=500 cents=$5 100 \cdot 5 \text{ cents} = 500 \text{ cents} = \$5 for the text messages. Finally she talked for .5.5 hours, 3030 minutes, over 3030 hours.

This means she has to pay an extra 3010 cents=300 cents=$3. 30 \cdot 10 \text{ cents} = 300 \text{ cents} = \$3.

Her total cost is $20+$5+$3=$28. \$20 + \$5 + \$3 = \$28.

Thus, D is the correct answer.

完整试卷

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