SOLUTION: Ben was in charge of ordering 35 pizzas for the office party. He ordered three types of pizza: cheese, pepperoni and supreme. The cheese cost $9, pepperoni $12 and supreme $15. He

Question 962934: Ben was in charge of ordering 35 pizzas for the office party. He ordered three types of pizza: cheese, pepperoni and supreme. The cheese cost $9, pepperoni $12 and supreme $15. He spent exactly twice as much on the pepperoni as he did on the cheese pizzas. If been spent a total of $420, how many pizzas of each type did he buy?
x+y+z=35
9x+12y+15z=420
x=? y=? z=?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
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.
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2.
.
.
.

3.
Multiplying eq. 1 by 5 and subtracting from eq. 3,

Multiply by 3.

Substitute from eq. 2,

Then,

And,

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