Answer:
Large Pizza: $1.06
Small Pizza: $1.13
Large Pizza is the better deal.
Step-by-step explanation:
We need to set up two equations for each scenerio. One for the large pizza and one for the small pieces.
We know that a pizza shop sells 8 large slices and costs $8.50.
We also know that they also sell 4 small slices and costs $4.50.
But, we don't know how much each of these will cost. So, we need to add a variable by x that will equal the cost of the pizza.
Our equations:
8x = 8.50
4x = 4.50
Now solve for each equation:
Large pizza:
[tex]8x = 8.5\\8x/8 = 8.5/8\\x = 1.0625[/tex]
Small pizza:
[tex]4x = 4.5\\4x/4 = 4.5/4\\x = 1.125[/tex]
Now, we know how much each pizza slice cost for both small pizza and large pizzas.
A slice from a large pizza costs: $1.0625 or $1.06.
A slice from a small pizza costs: $1.125 or $1.13
It seems like the better deal is the large pizza since the cost per slice is lower than the small pizza's slice per cost.
