Question

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

Answer: E

Concepts:linear equation

Difficulty rating: 1090

Solution:

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 Problem 23

Answer: E

Difficulty rating: 1090

Solution:

Problem 23 in Other Years