1996 AMC 8 第 23 题
先试着解答 1996 AMC 8 第 23 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1996 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
23.
一家公司经理原计划从公司基金中给每位员工发 奖金，但基金比所需金额少 。于是经理改为给每位员工发 奖金，并在公司基金中留下 。发放任何奖金之前，公司基金中有多少钱？
The manager of a company planned to distribute a bonus to each employee from the company fund, but the fund contained less than what was needed. Instead the manager gave each employee a bonus and kept the remaining in the company fund. The amount of money in the company fund before any bonuses were paid was
答案：E
小提示：
设员工人数为 ；基金数等于 ，也等于 。
Let be the number of employees; the fund equals and also
大提示：
令两个基金表达式相等，解出 ，再计算基金数。
Set the two expressions for the fund equal to solve for then compute the fund
解答：
设员工人数为 。基金数为 （比每人 美元少五美元），也等于 。
令 ，得 ，所以 。基金数为 美元。
所以正确答案是 E。
Let be the number of employees. The fund is (five dollars short of each) and also
Setting gives so The fund is
Thus, the correct answer is E .
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