2006 AMC 10A 第 5 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。

5.

Doug 和 Dave 分享一个切成 88 块等大的披萨。Doug 想要普通披萨,但 Dave 想在半个披萨上加凤尾鱼。普通披萨价格为 $8\$8,在半个披萨上加凤尾鱼另收 $2\$2。Dave 吃了所有加凤尾鱼的披萨块和一块普通披萨。Doug 吃了剩下的部分。两人各自按自己吃的部分付钱。Dave 比 Doug 多付多少美元?

Doug and Dave shared a pizza with 88 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half of the pizza. The cost of a plain pizza was $8,\$8, and there was an additional cost of $2\$2 for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each then paid for what he had eaten. How many more dollars did Dave pay than Doug?

11

22

33

44

55

答案:D
知识点:钱币分数
难度评级:1120
解答:

披萨共有 88 块,所以每块披萨的普通价格是 $1\$1。Dave 吃了 55 块,并支付凤尾鱼的额外 $2\$2,总共 5+2=75 + 2 = 7 美元。

Doug 吃了 33 块,付 33 美元。因此 Dave 多付 73=47 - 3 = 4 美元。

所以正确答案是 D

Each of the 88 slices costs $1.\$1. Dave ate 55 slices and also pays the extra $2\$2 for the anchovies, for a total of 5+2=75 + 2 = 7 dollars.

Doug ate 33 slices, paying 33 dollars. So Dave paid 73=47 - 3 = 4 dollars more.

Thus, the correct answer is D.

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