SOLUTION: Each year, every member of a club pays an equal amount to raise $63.00 for supplies. this year, there is one more person in the club than there was last year. Each member pays $0

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Each year, every member of a club pays an equal amount to raise $63.00 for supplies. this year, there is one more person in the club than there was last year. Each member pays $0      Log On


   

Question 709293: Each year, every member of a club pays an equal amount to raise $63.00 for supplies. this year, there is one more person in the club than there was last year. Each member pays $0.70 less than they did last year. What did each member have to pay last year?
I know X is member that paid last year
X+1 is member who paid this year
Y is the money from last year
Y-.70 is what members paid this year.
I don't know how to set it up, or solve it
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Each year, every member of a club pays an equal amount to raise $63.00 for supplies.
this year, there is one more person in the club than there was last year.
Each member pays $0.70 less than they did last year. What did each member have to pay last year?
:
63%2Fx - 63%2F%28%28x%2B1%29%29 = .70
multiply by x(x+1), cancel the denominators and you have:
63(x+1) - 63x =.7x(x+1)
63x + 63 - 63x = .7x^2 + .7x
Arrange as a quadratic equation on the right
0 = .7x^2 + .7x - 63
divide equation by .7, this gives us some whole numbers to deal with, results:
x^2 + x - 90 = 0
Factors easily to
(x+10)(x-9) = 0
the positive solution
x = 9 members last year
:
"What did each member have to pay last year?" You can do that, I'm sure