SOLUTION: This problem is from a chapter dealing with Quadratic Equations and Inequalities The members of a travelling club plan to share equally the cost of a $150,000 motor home. If they

Algebra ->  Radicals -> SOLUTION: This problem is from a chapter dealing with Quadratic Equations and Inequalities The members of a travelling club plan to share equally the cost of a $150,000 motor home. If they       Log On


   

Question 149813: This problem is from a chapter dealing with Quadratic Equations and Inequalities
The members of a travelling club plan to share equally the cost of a $150,000 motor home. If they can find 10 more people to join and share the cost, the cost per person will decrease by $1,250. How many members are there originally in the club?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="original members"

each share is the amount ($150000) divided by the number of members (x or x+10)
__ more members means the share is smaller

150000/x=[150000/(x+10)]+1250 __ dividing by 1250 __ 120/x=[120/(x+10)]+1

multiplying by x(x+10) __ 120x+1200=120x+x^2+10x __ subtracting 120x+1200 __ 0=x^2+10x-1200

factoring __ 0=(x+40)(x-30)

x+40=0 __ x=-40 __ negative value not realistic

x-30=0 __ x=30