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 all types of pizza cost the same amount.
Let the cost of each pizza be x.
The cost of 12 pepperoni pizzas is 12x.
The cost of 8 cheese pizzas is 8x.
The cost of 4 Hawaiian pizzas is 4x.
The total cost of the pizzas is 12x + 8x + 4x = 24x.
The total cost, including the delivery fee, is 24x + 5.50 = 184.54.
Subtracting 5.50 from both sides of the equation gives 24x = 179.04.
Dividing both sides by 24 gives x = 7.46.
Therefore, each pizza costs $7.46. Answer: \boxed{7.46}.
To find out the cost of each pizza, we need to subtract the delivery fee from the total and divide the remaining cost by the total number of pizzas.
First, let's calculate the total number of pizzas:
12 pepperoni + 8 cheese + 4 Hawaiian = 24 pizzas
Next, let's subtract the delivery fee from the total:
$184.54 - $5.50 = $179.04
Now, let's calculate the cost of each pizza:
$179.04 / 24 pizzas = $7.46
Therefore, each pizza costs $7.46.