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6 October, 15:29

At Pizzazz Pizza, the total price for 5

large pizzas plus 2 medium pizzas is

$81.50. The total for 4 large pizzas

plus 3 medium pizzas is $78.50.

What is the price of a medium pizza?

+3
Answers (1)
  1. 6 October, 18:39
    0
    The answer to your question is $9.5

    Step-by-step explanation:

    Data

    Large pizza = L

    Medium pizza = m

    Write equation for both situations

    Situation 1 5L + 2m = 81.5

    Situation 2 4L + 3m = 78.5

    Solve the system of equation by elimination

    Multiply situation 1 by - 3 and situation 2 by 2

    -15L - 6m = - 244.5

    8L + 6m = 157

    -7L = - 87.5

    Solve for L L = - 87.5/-7

    L = $12.5

    Substitute L in Situation 1 to find m

    5 (12.5) + 2m = 81.5

    62.5 + 2m = 81.5

    2m = 81.5 - 62.5

    2m = 19

    m = 19/2

    m = $ 9.5

    The prize of a medium pizza is $9.5
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