A pizza shop sells a large pizza with 8 slices for $8.50. They sell a small pizza with 4 slices for $4.50. What is the unit rate(price) of each pizza? Which is the better deal?

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:

Small pizza:

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.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt