AMC 8 2022 Problem 21
AMC8 2022 年第 21 题
百分比★★★☆☆
Steph scored 15 baskets out of 20 attempts in the first half of a game, and 10 baskets out of 10 attempts in the second half. Candace took 12 attempts in the first half and 18 attempts in the second. In each half, Steph scored a higher percentage of baskets than Candace. Surprisingly they ended with the same overall percentage of baskets scored. How many more baskets did Candace score in the second half than in the first?
Steph 在一场比赛的上半场有 20 次上篮，其中 15 次得分；下半场有 10 次上篮，并且 10 次都得分。Candace 在上半场有 12 次上篮，在下半场有 18 次上篮。在每个半场，Steph 的上篮得分率都比 Candace 高。但令人惊讶的是，他们整场的上篮得分率是相同的。问 Candace 在下半场比上半场上多得分几次？
- A.7
- B.8
- C.9
- D.10
- E.11
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
Steph made 75 percent of his shots in the first half. He makes all of his shots in the second half. The most baskets Candace could have made in the first half is 8 baskets. The most she could have made in the second half is 17 baskets. Steph makes 25 and misses 5 baskets and the only way for Candace to make 25 shots is to make 8 in the first half and 17 in the second. Thus, 17 - 8 = 9.
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