2017 AMC 12B 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.

Kymbrea 的漫画书收藏目前有 3030 本漫画书,并且她每月增加 22 本。LaShawn 的收藏目前有 1010 本漫画书,并且他每月增加 66 本。多少个月后,LaShawn 收藏的漫画书数量会是 Kymbrea 的两倍?

Kymbrea's comic book collection currently has 3030 comic books in it, and she is adding to her collection at the rate of 22 comic books per month. LaShawn's collection currently has 1010 comic books in it, and he is adding to his collection at the rate of 66 comic books per month. After how many months will LaShawn's collection have twice as many comic books as Kymbrea's?

11

44

55

2020

2525

答案:E
知识点:一次方程
难度评级:920
解答:

mm 个月后,Kymbrea 有 30+2m30 + 2m 本漫画书,LaShawn 有 10+6m10 + 6m 本。令 10+6m=2(30+2m)10 + 6m = 2(30 + 2m),得到 10+6m=60+4m10 + 6m = 60 + 4m,因此 2m=502m = 50m=25m = 25

所以正确答案是 E

After mm months, Kymbrea has 30+2m30 + 2m comic books and LaShawn has 10+6m.10 + 6m. Setting 10+6m=2(30+2m)10 + 6m = 2(30 + 2m) gives 10+6m=60+4m,10 + 6m = 60 + 4m, so 2m=502m = 50 and m=25.m = 25.

Thus, the correct answer is E.

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