Question

第 $17, 18$ 和 $19$ 题参考以下内容：

给一群人做饼干

Central Middle School 有 $108$ 名参加 AMC $8$ 的学生，他们晚上聚在一起讨论题目，并且平均每人吃两个饼干。今年 Walter 和 Gretel 要烤 Bonnie's Best Bar Cookies。这个食谱每盘做 $15$ 个饼干，配料包括： $1\dfrac{1}{2}$ 杯面粉、 $2$ 个鸡蛋、 $3$ 汤匙黄油、 $\dfrac{3}{4}$ 杯糖和 $1$ 包巧克力粒。他们只做完整份食谱，不做部分份。

Walter 可以按半打购买鸡蛋。为了做足够的饼干，他应该买多少半打鸡蛋？（可能会剩下一些鸡蛋和一些饼干。）

Problems $17, 18,$ and $19$ refer to the following:

Cookies For a Crowd

At Central Middle School the $108$ students who take the AMC $8$ meet in the evening to talk about problems and eat an average of two cookies apiece. Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of $15$ cookies, lists these items: $1\dfrac{1}{2}$ cups of flour, $2$ eggs, $3$ tablespoons butter, $\dfrac{3}{4}$ cups sugar, and $1$ package of chocolate drops. They will make only full recipes, not partial recipes.

Walter can buy eggs by the half-dozen. How many half-dozens should he buy to make enough cookies? (Some eggs and some cookies may be left over.)

$1$

$2$

$5$

$7$

$15$

答案：C

知识点：取整函数单位换算

难度评级：1250

解答：

因为学生平均每人吃 $2$ 个饼干，他们总共会吃 $108 \cdot 2 = 216$ 个饼干。

每份食谱做 $15$ 个饼干，所以需要份完整食谱，才能做够。 $\left\lceil\dfrac{216}{15}\right\rceil = 15$

每盘需要 $2$ 个鸡蛋，所以需要 $15 \cdot 2 = 30$ 个鸡蛋。半打是 $6$ 个鸡蛋，因此需要 $30 \div 6 = 5$ 个半打。

所以正确答案是 C。

Since the students eat an average of $2$ cookies each, they will eat a total of $108 \cdot 2 = 216$ cookies.

Each recipe makes $15$ cookies, which means we need $\left\lceil\dfrac{216}{15}\right\rceil = 15$ full recipes to make enough cookies.

Each pan requires $2$ eggs, which means we need $15 \cdot 2 = 30$ eggs. There are $6$ eggs in a half-dozen, so we need $30 \div 6 = 5$ half-dozens.

Thus, C is the correct answer.

1999 AMC 8 第 17 题

答案：C

难度评级：1250

解答：

其他年份的第 17 题