2004 AMC 8 第 6 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。

6.

Sally 投篮 2020 次后,命中率为 55%55 \%。她又投 55 次后,命中率提高到 56%56 \%。最后 55 次投篮中她命中了几次?

After Sally takes 2020 shots, she has made 55%55 \% of her shots. After she takes 55 more shots, she raises her percentage to 56%.56 \%. How many of the last 55 shots did she make?

11

22

33

44

55

答案:C
知识点:百分数一次方程
难度评级:870
解答:

Sally 前 2020 次命中了 20×.55=1120 \times .55 = 11 次。于是 11+x25=.56, \dfrac{11 + x}{25} = .56, 所以 11+x=14 11 + x = 14 x=3x = 3

所以正确答案是 C

Sally made 20×.55=1120 \times .55 = 11 of her first 2020 shots. Then we get that 11+x25=.56, \dfrac{11 + x}{25} = .56, which tells us that 11+x=14 11 + x = 14 and x=3.x = 3.

Thus, C is the correct answer.

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