Question

一家公司经理原计划从公司基金中给每位员工发五十美元奖金，但基金比所需金额少五美元。于是经理改为给每位员工发四十五美元奖金，并在公司基金中留下九十五美元。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 $50 bonus to each employee from the company fund, but the fund contained $5 less than what was needed. Instead the manager gave each employee a $45 bonus and kept the remaining $95 in the company fund. The amount of money in the company fund before any bonuses were paid was

$945

$950

$955

$990

$995

答案：E

知识点：一次方程

难度评级：1090

解答：

设员工人数为 $n$ 。基金数为 $50n - 5$ （比每人 $50$ 美元少五美元），也等于 $45n + 95$ 。

令 $50n - 5 = 45n + 95$ ，得 $5n = 100$ ，所以 $n = 20$ 。基金数为 $45 \cdot 20 + 95 = 995$ 美元。

所以正确答案是 E。

Let $n$ be the number of employees. The fund is $50n - 5$ (five dollars short of $50$ each) and also $45n + 95$ .

Setting $50n - 5 = 45n + 95$ gives $5n = 100$ , so $n = 20$ . The fund is $45 \cdot 20 + 95 = 995$ .

Thus, the correct answer is E .

1996 AMC 8 第 23 题

答案：E

难度评级：1090

解答：

其他年份的第 23 题