Question

On Saturday, the Anderson

Family had dinner at a
restaurant. They ordered 2
pizzas and 4 cheeseburgers for
$31.50. The following weekend,
the Anderson Family had dinner
at the same restaurant where
they ordered 3 pizzas and 2
cheeseburgers for $33.25. Which
system of equations can be used
to determine the cost of one
pizza (p) and one cheeseburger
(c)?

Answer 1

`\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.`

Explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50 [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25 [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

`\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.`