AMC8 1996

AMC8 1996 · Q2

AMC8 1996 · Q2. It mainly tests Manipulating equations, Arithmetic misc.

José, Thuy, and Kareem each start with the number 10. José subtracts 1 from the number 10, doubles his answer, and then adds 2. Thuy doubles the number 10, subtracts 1 from her answer, then adds 2. Kareem subtracts 1 from the number 10, adds 2 to his answer, and then doubles the result. Who gets the largest final answer?

José、Thuy 和 Kareem 都从数字 10 开始。José 从 10 中减去 1，将结果加倍，然后加 2。Thuy 将 10 加倍，从结果中减去 1，然后加 2。Kareem 从 10 中减去 1，将结果加 2，然后加倍。谁得到最大的最终结果？

(A) José José

(B) Thuy Thuy

(D) José and Thuy José 和 Thuy

(E) Thuy and Kareem Thuy 和 Kareem

Answer

Correct choice: (C)

正确答案：（C）

Solution

Starting with 10: José computes, consecutively, 9, then 18, and finally 20. Thuy computes, consecutively, 20, then 19, and finally 21. Kareem computes, consecutively, 9, then 11, and finally 22. Thus Kareem gets the largest final answer.

从 10 开始：José 依次计算 9，然后 18，最后 20。Thuy 依次计算 20，然后 19，最后 21。Kareem 依次计算 9，然后 11，最后 22。因此 Kareem 得到最大的最终结果。

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