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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.

Respuesta :

calculista

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

[tex]12x+8y+4z+5.50=184.54[/tex] ------> equation A

[tex]y=x[/tex] -----> equation B

[tex]z=x[/tex] -----> equation C

Substitute equation B and equation C in equation A

[tex]12x+8x+4x+5.50=184.54[/tex]

solve for x

[tex]24x=184.54-5.50[/tex]

[tex]x=179/24[/tex]

[tex]x=\$7.46[/tex]

therefore

the answer is

[tex]\$7.46[/tex]

JeanaShupp

Answer: Each pizza costs $7.46.

Step-by-step 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.

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