You are ordering pizzas for a birthday party and getting them delivered to your house. You order 1 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's say the cost of each pizza is x.
The cost of 1 pepperoni pizza is x.
The cost of 8 cheese pizzas is 8x.
The cost of 4 Hawaiian pizzas is 4x.
The total cost of the pizzas is x + 8x + 4x = 13x.
Including the delivery fee, the total cost is 13x + 5.50 = 184.54.
13x = 184.54 - 5.50 = 179.04
The cost of each pizza is x = 179.04/13 = $<<179.04/13=13.77>>13.77. Answer: \boxed{13.77}.
Let's assume the cost of each pizza is "x".
The total cost of the pepperoni pizzas will be 1 * x, the total cost of the cheese pizzas will be 8 * x, and the total cost of the Hawaiian pizzas will be 4 * x.
Adding all these costs together, we can write the equation:
1x + 8x + 4x + 5.50 = 184.54
Combining like terms, we get:
13x + 5.50 = 184.54
Subtracting 5.50 from both sides of the equation, we have:
13x = 179.04
Next, we divide both sides of the equation by 13 to solve for "x":
x = 179.04 / 13
Evaluating the expression, we find:
x ≈ 13.77
So each pizza costs approximately $13.77.
To find out how much each pizza costs, we can start by subtracting the delivery fee from the total amount paid.
Total amount paid - Delivery fee = Cost of pizzas
$184.54 - $5.50 = $179.04
Now, we need to find the total number of pizzas ordered.
Number of pepperoni pizzas + Number of cheese pizzas + Number of Hawaiian pizzas = Total number of pizzas
1 + 8 + 4 = 13
Finally, we can divide the cost of pizzas by the total number of pizzas to find the cost of each pizza.
Cost of pizzas / Total number of pizzas = Cost per pizza
$179.04 / 13 ≈ $13.77
Therefore, each pizza costs approximately $13.77.