1999 AMC 8 第 16 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。
16.
托里的数学测试有 道题： 道算术题、 道代数题和 道几何题。她答对了 的算术题、 的代数题和 的几何题，但因为答对题数少于 ，所以没有通过测试。
她还需要多答对多少道题，才能达到 的及格分数？
Tori’s mathematics test had problems: arithmetic, algebra, and geometry problems. Although she answered of the arithmetic, of the algebra, and of the geometry problems correctly, she did not pass the test because she got less than of the problems right.
How many more problems would she have needed to answer correctly to earn a passing grade?
答案：B
小提示：
按类别计算托里目前答对了多少题
Compute Tori’s current correct answers by category
大提示：
将这个总数与 的 比较
Compare that total with of
解答：
她答对了 道算术题，答对了 道代数题，还答对了 道几何题。
因此她总共答对 道题。
要达到 ，托里必须答对 道题。所以她还需要多答对 道题。
所以正确答案是 B。
She answered arithmetic questions correctly. She answered algebra ones correctly. She also got geometry questions correctly.
This means she got a total of questions correct.
As such, in order to get a Tori must have answered questions correctly. This means that she would have needed to answer an additional questions correctly.
Thus, B is the correct answer.
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