Question 1031866

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?