Problem:
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
Answer Choices:
A.
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D.
E.
Solution:
Had there been more in the company fund, there would have been which would have been enough to give each employee another . Thus there are employees. So the company fund contained .
The left over represents for each employee who would have received . Thus there are of these employees. Hence the amount of money in the company fund before any bonuses were paid was .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions