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.

萨莉投篮 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
小提示:

先求萨莉前 2020 次命中了多少次

Find how many shots Sally had made after 2020 shots.

大提示:

再求她 2525 次投篮后的总命中数

Find how many total made shots she had after 2525 shots.

解答:

萨莉在最初的 2020 次投篮中命中了 20×0.55=1120 \times 0.55 = 11 次。于是 11+x25=0.56 \dfrac{11 + x}{25} = 0.56\text{,}所以 11+x=14 11 + x = 14 x=3x = 3

所以正确答案是 C

Sally made 20×0.55=1120 \times 0.55 = 11 of her first 2020 shots. Then we get that 11+x25=0.56, \dfrac{11 + x}{25} = 0.56, 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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