Problema Solution
A person was in charge of ordering 27 pizzas for the office party. He ordered three types of pizza: cheese, pepperoni, and supreme. The cheese pizza cost $6 each, the pepperoni pizzas cost $9 each, and the supreme pizzas cost $12 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If the person spent $234 on pizza, how many pizzas of each type did he buy?
Answer provided by our tutors
let
c = the number of cheese pizzas bought
p = the number of pepperoni pizzas bought
s = the number of supreme pizzas bought
A person was in charge of ordering 27 pizzas for the office party
c + p + s = 27
the cheese pizza cost $6 each, the pepperoni pizzas cost $9 each, and the supreme pizzas cost $12 each and he spent $234
6c + 9p + 12s = 234
He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas
9p = 2*6c
9p = 12c
by solving the system of equations
c + p + s = 27
6c + 9p + 12s = 234
9p = 12c
we find
p = 9 pepperoni pizzas
c = 12 cheese pizzas
s = 6 supreme pizzas
click here to see the step by step solution of the system of equations
there were 9 pepperoni, 12 cheese and 6 supreme pizzas ordered.