2002 AMC 8 第 17 题
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17.
在一场有十道题的数学竞赛中，学生答对一题得 分，答错一题扣 分。Olivia 回答了所有题，得分为 。她答对了多少题？
In a mathematics contest with ten problems, a student gains points for a correct answer and loses points for an incorrect answer. If Olivia answered every problem and her score was how many correct answers did she have?
答案：C
小提示：
设 为答对题数。
Let be the number of correct answers.
大提示：
那么答错题数是 。
Then the number of incorrect answers is
解答：
设 为答对题数。那么她答错了 题。
她的总分为
该值等于 ，解得
所以正确答案是 C。
Let be the number of correct answers. Then she answered questions incorrectly.
This gives her a total score of
We know that this equals and solving yields
Thus, C is the correct answer.
其他年份的第 17 题
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