SOLUTION: The computer club bought a $300 computer, the members sharing the cost equally. If there had been 5 more members in the club each would have paid $5 less. How many members were in

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Question 755882: The computer club bought a $300 computer, the members sharing the cost equally. If there had been 5 more members in the club each would have paid $5 less. How many members were in the club?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
The computer club bought a $300 computer, the members sharing the cost equally. If there had been 5 more members in the club each would have paid $5 less. How many members were in the club?
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A:
Let x = number of members in the club
300%2Fx+-+300%2F%28x+%2B+5%29 = 5, multiply both sides by x(x + 5)
300%28x+%2B+5%29+-+300x+ = 5x(x + 5)
5x%5E2+%2B+25x+-+1500, divide both sides by 5
x%5E2+%2B+5x+-+300+=+0
(x - 15)(x + 20) = 0
x - 15 = 0 OR x + 20 = 0
x = highlight%2815%29, disregard x = -20
Number of members: highlight%2815%29