2014 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.

Bridget 为她的面包店烤了 4848 条面包。上午她以每条$2.50\$ 2.50卖出一半。下午她卖出剩余面包的三分之二;因为不新鲜了,她只收半价。傍晚她以每条一美元卖出剩下的面包。每条面包的制作成本为$0.75\$ 0.75。她当天的利润是多少美元?

Bridget bakes 4848 loaves of bread for her bakery. She sells half of them in the morning for $2.50\$ 2.50 each. In the afternoon she sells two thirds of what she has left, and because they are not fresh, she charges only half price. In the late afternoon she sells the remaining loaves at a dollar each. Each loaf costs $0.75\$ 0.75 for her to make. In dollars, what is her profit for the day?

2424

3636

4444

4848

5252

答案:E
知识点:钱币分数
难度评级:960
解答:

上午 Bridget 卖出 2424 条面包,收入 24$2.50=$6024\cdot\$2.50=\$60

她还剩 2424 条面包。下午她以半价卖出 2324=16\frac23\cdot24=16 条,收入 16$1.25=$2016\cdot\$1.25=\$20

剩下的 88 条卖得 $8\$8,所以总收入为 $60+$20+$8=$88\$60+\$20+\$8=\$88。成本为 48$0.75=$3648\cdot\$0.75=\$36

她的利润为 $88$36=$52\$88-\$36=\$52

所以正确答案是 E

In the morning Bridget sells 2424 loaves for 24$2.50=$6024\cdot\$2.50=\$60.

She has 2424 loaves left. In the afternoon she sells 2324=16\frac23\cdot24=16 loaves at half price, earning 16$1.25=$2016\cdot\$1.25=\$20.

The remaining 88 loaves sell for $8\$8, so her revenue is $60+$20+$8=$88\$60+\$20+\$8=\$88. Her cost is 48$0.75=$3648\cdot\$0.75=\$36.

Her profit is $88$36=$52\$88-\$36=\$52.

Thus, E is the correct answer.

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