2019 AMC 8 第 1 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。

1.

Ike 和 Mike 走进一家三明治店,总共有 $30.00\$30.00 可以花。三明治每个 $4.50\$4.50,汽水每杯 $1.00\$1.00。Ike 和 Mike 计划尽可能多买三明治,并用剩下的钱买汽水。把汽水和三明治都算上,他们会买多少件商品?

Ike and Mike go into a sandwich shop with a total of $30.00\$30.00 to spend. Sandwiches cost $4.50\$4.50 each and soft drinks cost $1.00\$1.00 each. Ike and Mike plan to buy as many sandwiches as they can, and use any remaining money to buy soft drinks. Counting both soft drinks and sandwiches, how many items will they buy?

66

77

88

99

1010

答案:D
知识点:钱币最优化
难度评级:450
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文字解答:

66 个三明治需要 6×4.5=276 \times 4.5 = 27 美元,已经不能再买一个三明治。

剩下 3027=330 - 27 = 3 美元,可以买 33 杯汽水。 商品总数为 6+3=96 + 3 = 9

正确答案是 D

If they buy 66 sandwiches, they would spend 6×4.5=276 \times 4.5 = 27 dollars. This means that they would not be able to buy any more sandwiches.

They would then have 3027=330 - 27 = 3 dollars left. With this, they could buy 33 sodas. They would therefore buy a total of 6+3=96 + 3 = 9 items.

Thus, the correct answer is D.

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