SOLUTION: The cost of a trip is RM600. The cost for each member would be RM5 less if 10 non members were allowed to join. If the cost was shared equally among the students, find the number o

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The cost of a trip is RM600. The cost for each member would be RM5 less if 10 non members were allowed to join. If the cost was shared equally among the students, find the number o      Log On


   

Question 290671: The cost of a trip is RM600. The cost for each member would be RM5 less if 10 non members were allowed to join. If the cost was shared equally among the students, find the number of members going for the trip
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number of members be x
cost per person = 600/x
if 10 more join cost per person will be 600/ x+10
600/x+10 +5 = 600/x
600/x+10 - 600/x = -5
600x-600x-6000= -5x(x+10)
-6000=-5x^2-50x
5x^2+50x-6000=
x^2+10x-1200=0
x^2+40x-30x-1200=0
x(x+40)-30(x+40)=0
(x-30)(x+40)=0
x=30 the number of members