SOLUTION: Jeff, Tom, and Chelsea order a large pizza. They decide to split the cost according to how much they will eat. Tom pays $5.16, Chelsea eats 1/8 of the pizza, and Jeff eats 1/2 of t

Algebra ->  Linear-equations -> SOLUTION: Jeff, Tom, and Chelsea order a large pizza. They decide to split the cost according to how much they will eat. Tom pays $5.16, Chelsea eats 1/8 of the pizza, and Jeff eats 1/2 of t      Log On


   

Question 1203956: Jeff, Tom, and Chelsea order a large pizza. They decide to split the cost according to how much they will eat. Tom pays $5.16, Chelsea eats 1/8 of the pizza, and Jeff eats 1/2 of the pizza. How much did the pizza cost?
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Jeff, Tom, and Chelsea order a large pizza. They decide to split the cost according to how much they will eat.
let the pizza cost be x
Tom pays $5.16
Chelsea eats 1%2F8 of the pizza, => have to pay %281%2F8%29x
and Jeff eats 1%2F2 of the pizza,=> have to pay %281%2F2%29x
then
x=5.16%2B%281%2F8%29x%2B%281%2F2%29x
x=5.16%2B%285x%29%2F8
x-5x%2F8=5.16
8x%2F8-5x%2F8=5.16
3x%2F8=5.16
3x=5.16%2A8
3x=41.28
x=41.28%2F3
x=13.76

the pizza cost $13.76

Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Q, total pizza cost

chelsea pay Q/8
Jeff pay Q/2
Tom pay $5.16

SUM of what they pay must be Q.

5.16%2BQ%2F8%2BQ%2F2=Q--------solve this.