Question

The manager of a company planed to distribute a 50 dollar bonus to each employee from the company fund. But the fund contained 5 dollars less than what was needed. Instead the manager gave each employee a 45 dollar bonus and kept the remaining 95 dollars in the company fund. How much money was in the company fund before any bonuses were paid?

Answer 1

$995

Explanation:

Let x be the number of people in the company, and y be the amount of money in the fund.

The first sentence states that 50x = y + 5

The second sentence states that 45x = y - 95

Subtracing the second equation from the first, we get 5x = 100, leading to x=20

Plugging that number into the first equation gives (50)(20) = y + 5, leading to y=995