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 $6, pepperoni $9 and supreme $12. He s

Click here to see ALL problems on Miscellaneous Word Problems

Question 1096927: 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 $6, pepperoni $9 and supreme $12. He spent exactly twice as much on the pepperoni as he did on the cheese pizzas. If been spent a total of $300, how many pizzas of each type did he buy?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = number of cheese bought
Let = number of pepperoni bought
Let = number of supreme bought
------------------------------------------
(1)
(2)
(3)
-----------------------------
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
-------------------------------

and
(3)
(3)
-------------------------
Using substitution:

and

and
(1)
(1)
(1)
(1)
-----------------------------
12 cheese
16 pepperoni
7 supreme
-----------------
check:
(2)
(2)
(2)
(2)
OK