SOLUTION: 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

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Question 321370: 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
A $945 B $950 C $955 D $990 E $995
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let y = money in company fund before bonuses were paid
Let x = number of employees
given:
50x+=+y+%2B+5
45x+=+y+-+95
Rewriting these:
(1) y+=+50x+-+5
(2) y+=+45x+%2B+95
Subtract (2) from (1)
0+=+5x+-+100
5x+=+100
x+=+20
and, from (1)
y+=+50%2A20+-+5
y+=+1000+-+5
y+=+995
There was $995 in company fund originally
check:
(1) y+=+50x+-+5
995+=+50%2A20+-+5
995+=+1000+-+5
995+=+995 and
(2) y+=+45x+%2B+95
995+=+45%2A20+%2B+95
995+=+900+%2B+95
995+=+995
OK