ALGEBRA
posted by HELP US on .
PROBLEM
The student council of Sta. Lucia High School needed Php. 2,250 for an annual trip. If 5 more members joined the group, each member would then save Php 5. How many students planned to make the trip?

x = number of students
p = price of ticket
x p = 2250
(x+5)(p5) = 2250
p = 2250/x
xp + 5 p  5 x  25 = 2250
xp + 5 p  5 x  2275 = 0
2250 + 11250/x  5 x  2275 = 0
11250  5 x^2  25 x = 0
x^2 + 5 x  2250 = 0
(x+50) (x45) = 0
x = 45