2009 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.

Bridget 在杂货店买了一袋苹果。她把一半苹果给了 Ann。然后她给了 Cassie 33 个苹果,自己留下 44 个苹果。Bridget 买了多少个苹果?

Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 33 apples, keeping 44 apples for herself. How many apples did Bridget buy?

33

44

77

1111

1414

答案:E
知识点:逆推法
难度评级:370
解答:

可以倒推,从 Bridget 自己留下的 44 个苹果开始。加上她给 Cassie 的 33 个苹果,这一半共有 77 个苹果。

因为她把原来苹果的一半给了 Ann,所以再乘以 2272=147 \cdot 2 = 14,因此 Bridget 一开始有 1414 个苹果。

所以正确答案是 E

We can work backwards, starting with the 44 apples that Bridget kept for herself. Adding the 33 apples that she gave Cassie, she now has 77 apples.

Finally, we multiply this value by 22 since she gave half of her initial apples to Ann. 72=14,7 \cdot 2 = 14, so Bridget started off with 1414 apples.

Thus, E is the correct answer.

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