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

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) (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?
RELATED QUESTIONS
The $75 dollar cost for a party was to be shared equally by all those attending. Since 5... (answered by chitra,stanbon)

The $75 cost for a party was to be shared equally by all those attending. Since 5 more... (answered by richwmiller)

the $75 cost for a party was to be shared equally by all those attending. since five more (answered by ankor@dixie-net.com)

The $75 cost for a party was to be shared equally by all those attending. Since five more (answered by Paul)

The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of... (answered by ankor@dixie-net.com)

The cost of a bus excursion was $180. This amount was to have been shared equally by all... (answered by mananth,stanbon)

Three out of 5 people attending Dustin's party were girls. If 12 girls attended, how... (answered by wuwei96815)

The cost of hiring a bus for an outing was $240 and this was to be shared equally by X... (answered by josgarithmetic)

The cost p, in dollars, of having a dinner party catered by Elain's Kosher Catering... (answered by checkley77)