1999 AMC 8 第 19 题

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19.

鼓手生病了,音乐会取消了。Walter 和 Gretel 必须烤出足够的饼干,共计 216216 块。每条黄油相当于 88 汤匙。需要多少条黄油?(当然,可能会剩下一些黄油。)

The drummer gets sick. The concert is cancelled. Walter and Gretel must make enough pans of cookies to supply 216216 cookies. There are 88 tablespoons in a stick of butter. How many sticks of butter will be needed? (Some butter may be left over, of course.)

55

66

77

88

99

答案:B
知识点:单位换算取整函数
难度评级:1340
解答:

要做 216216 个饼干,他们必须做 盘。每盘需要 33 汤匙黄油,所以所有饼干共需要 153=4515 \cdot 3 = 45 汤匙。 21615=15 \left\lceil \dfrac{216}{15} \right\rceil = 15

因此他们需要 条黄油。 458=6 \left\lceil \dfrac{45}{8} \right\rceil = 6

所以正确答案是 B

To make 216216 cookies, they have to make 21615=15 \left\lceil \dfrac{216}{15} \right\rceil = 15 pans. Since each pan requires 33 tablespoons of butter, all the pans will need 153=4515 \cdot 3 = 45 tablespoons.

They will then need 458=6 \left\lceil \dfrac{45}{8} \right\rceil = 6 sticks of butter.

Thus, B is the correct answer.

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