Question

You are ordering pizzas for a birthday party and getting them delivered to your house. You order 12 pepperoni pizzas, 8 cheese pizzas, and 4 Hawaiian pizzas. There is a delivery fee of $5.50. If your total comes to $184.54, how much was each pizza? Assume that every pizza was the same amount.

Answer 1

Answer: Each pizza costs $7.46.

Explanation:

Given : Pizzas ordered : 12 pepperoni pizzas, 8 cheese pizzas, and 4 Hawaiian pizzas.

Total pizzas ordered : 12+8+4=24

Delivery fee = $5.50

Total Cost = $184.54

The cost of 24 pizzas = Total cost - Delivery fee

The cost of 24 pizzas= $184.54 - $5.50 = $179.04

If every pizza was the same amount.

Then, the cost of one pizza = Cost of 24 pizzas divided by 24

= $179.04÷ 24 =$ 7.46

Hence, Each pizza costs $7.46.

Answer 2

Let

x-------> the cost of each pepperoni pizza

y-------> the cost of each cheese pizza

z-------> the cost of each Hawaiian pizza

we know that

`12x+8y+4z+5.50=184.54` ------> equation A

`y=x` -----> equation B

`z=x` -----> equation C

Substitute equation B and equation C in equation A

`12x+8x+4x+5.50=184.54`

solve for x

`24x=184.54-5.50`

`x=179/24`

`x=\$7.46`

therefore

the answer is

`\$7.46`