2000 AMC 12 第 3 题

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3.

Jenny 每天吃掉当天开始时罐子里软糖的 20%20\%。第二天结束时还剩 3232 颗。罐子里原来有多少颗软糖?

Each day, Jenny ate 20%20\% of the jellybeans that were in her jar at the beginning of that day. At the end of the second day, 3232 remained. How many jellybeans were in the jar originally?

4040

5050

5555

6060

7575

答案:B
知识点:百分数逆推法
难度评级:1080
解答:

每天吃掉 20%20\%,所以每天结束时剩下 80%80\%。若原来有 xx 颗,则 (0.8)2x=32. (0.8)^2 x = 32.

解得 0.64x=320.64x = 32, 所以 x=50x = 50

因此,正确答案是 B

Since 20%20\% is eaten each day, 80%80\% remains at the end of each day. If xx is the original number, then (0.8)2x=32. (0.8)^2 x = 32.

Solving gives 0.64x=32,0.64x = 32, so x=50.x = 50.

Thus, the correct answer is B.

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