Question

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of cheese pizza? Set up the system of equations:

Answer 1

Data:

cost of cheese pizza: x

cost of mushroom pizza: y

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50

`3x+4y=12.50`

Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50:

`3x+2y=8.50`

System of equations:

`\begin{gathered} 3x+4y=12.50 \\ 3x+2y=8.50 \end{gathered}`