AMC8 1996

AMC8 1996 · Q23

AMC8 1996 · Q23. It mainly tests Word problems (algebra), Arithmetic misc.

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

公司经理计划从公司基金中向每位员工发放50美元奖金，但基金比所需少5美元。于是经理改发给每位员工45美元奖金，并将剩余的95美元留在公司基金中。在发放任何奖金前，公司基金中的金额是

(A) $945 $945

(B) $950 $950

(D) $990 $990

(E) $995 $995

Answer

Correct choice: (E)

正确答案：（E）

Solution

Answer (E): Had there been \$5 more in the company fund, there would have been \$95 + \$5 = \$100 which would have been enough to give each employee another \$5. Thus there are $\frac{\$100}{\$5}=20$ employees. So the company fund contained $20\cdot\$45+\$95=\$995$.

答案（E）：如果公司基金多 \$5，那么就会有 \$95 + \$5 = \$100，这就足够给每位员工再多发 \$5。因此员工人数为 $\frac{\$100}{\$5}=20$ 人。所以公司基金共有 $20\cdot\$45+\$95=\$995$。

Topics