SOLUTION: the 75 dollar cost for a party was to be equally shared by all those attending. Since 5 more people attended than were expected, the price per person dropped by 50 cents. How many

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Question 1031866: the 75 dollar cost for a party was to be equally shared by all those attending. Since 5 more people attended than were expected, the price per person dropped by 50 cents. How many people attended the party?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

the 75 dollar cost for a party was to be equally shared by all those attending.
let x people attend the party
Price per person = 75/x
5 more people attended than were expected,
75/(x+5) = 75/x -0.50
75/x - 75/(x+5) = 0.5
multiply by x(x+5)
75(x+5)-75x = 0.5x(x+5)
75x+375 -75x = 0.5x^2 +2.5x
0.5x^2 +2.5x-375=0
multiply by 2
x^2+5x-750=0
x^2+30x-25x-750=0
x(x+30) -25(x+30)=0
(x+30)(x-25)=0
x=25
30 persons attended the party

How many people attended the party?