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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

Accepted Answer

Let p be the number of people in the company, and f be the amount of money in the fund. The first sentence states that 50p = f + 5 The second sentence states that 45p = f - 95 Subtracing the second equation from the first, we get 5p = 100, leading to p = 20 Plugging that number into the first equation gives 50 20 = f + 5, leading to f = 995, which is answer 995 dollars.