1999 AMC 8 第 19 题

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19.

鼓手生病了,音乐会取消了。沃尔特和格蕾特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
小提示:

先把需要的盘数向上取整

First round the number of pans up

大提示:

将黄油汤匙数换算成条数并向上取整

Convert tablespoons of butter to sticks and round up

解答:

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

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

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 15⋅3=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.

第 18 题#18
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