SOLUTION: The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of friends, who will be having their get-together in the condo unit. At the last minute, four

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of friends, who will be having their get-together in the condo unit. At the last minute, four       Log On


   

Question 1186006: The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of friends, who will be having their get-together in the condo unit. At the last minute, four people decided not to go to the party. thus raising the cost to each girl by P400.00. How many girls attended the get-together?


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of friends, who will be having their get-together in the condo unit.
At the last minute, four people decided not to go to the party. thus raising the cost to each girl by P400.00.
How many girls attended the get-together?
:
let g = original no. of girls
then
1200%2Fg = original cost for each girl
and
1200%2F%28g-4%29 = the actual cost when 4 girls opted out
:
1200%2F%28g-4%29 - 1200%2Fg = 400
multiply eq by g(g-4), cancel the denominators
1200g - 1200(g-4) = 400g(g-4)
simplify, divide eq by 400
3g - 3(g-4) = g(g-4)
3g - 3g + 12 = g^2 - 4g
arrange as a quadratic eq
g^2 - 4g - 12 = 0
factors to
(g-6)(g+2) = 0
positive solution
g = 6 girls originally
then
6-4 = 2 girls actually attended
:
:
Check,
1200/6 = 200
1200/2 = 600
a P400 difference