SOLUTION: A person was in charge of ordering 38 pizzas for the office party. He ordered three types of pizza: cheese pepperoni and supreme. the cheese pizza cost $6 each the pepperoni cost $

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Question 1026032: A person was in charge of ordering 38 pizzas for the office party. He ordered three types of pizza: cheese pepperoni and supreme. the cheese pizza cost $6 each the pepperoni cost $9 each and the supreme pizza's cost $12 each. He spent exactly twice as much on the pepperoni pizza's as he did on the cheese pizza's. If the person spent a total of $336 on pizza how many of each type did he buy?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Try to summarize price information as a table. 
cheese           6
pepperoni        9
supreme         12


List the cost of each pizza type bought.
Variables for how many of each type may be c for Cheese, p for Pepperoni, s for Supreme.
cheese           6c     
pepperoni        9p
supreme         12s

"He spent.....",
becomes 9p=2%2A6c.

There are two other equations which come from the description.
system%28c%2Bp%2Bs=38%2C6c%2B9p%2B12s=336%29

The more complete system to solve is this:
system%28c%2Bp%2Bs=38%2C6c%2B9p%2B12s=336%2C9p=12c%29.

Simplify the system and solve it for c, p, and s.