1996 AMC 8 第 2 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。

2.

José、Thuy 和 Kareem 都从数字 1010 开始。José 从 1010 中减去 11,把答案加倍,然后加 22。Thuy 把 1010 加倍,从答案中减去 11,然后加 22。Kareem 从 1010 中减去 11,给答案加 22,然后把结果加倍。谁得到的最终答案最大?

José, Thuy, and Kareem each start with the number 1010. José subtracts 11 from the number 1010, doubles his answer, and then adds 22. Thuy doubles the number 1010, subtracts 11 from her answer, and then adds 22. Kareem subtracts 11 from the number 1010, adds 22 to his answer, and then doubles the result. Who gets the largest final answer?

José

Thuy

Kareem

José 和 Thuy

José and Thuy

Thuy 和 Kareem

Thuy and Kareem

答案:C
知识点:运算顺序
难度评级:730
解答:

1010 开始:José 得到 9,18,209, 18, 20;Thuy 得到 20,19,2120, 19, 21;Kareem 得到 9,11,229, 11, 22

Kareem 最后加倍,所以他加上的 22 也被加倍,得到最大结果。

所以正确答案是 C

Starting from 1010: José computes 9,18,209, 18, 20; Thuy computes 20,19,2120, 19, 21; Kareem computes 9,11,229, 11, 22.

Kareem doubles last, so the 22 he adds is doubled too, giving the largest result.

Thus, the correct answer is C .

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