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17 May, 00:50

Marcus and his friends are having

a Final Four party. Marcus buys 5

burgers and 9 sodas for $28.75 at

the Beefy Burger joint. When five

more of his friends show up, he

heads back to Beefy Burger for 10

more burgers and 10 more sodas

and spends $47.50.

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Answers (1)
  1. 17 May, 04:01
    0
    S = 1.25

    B = 3.50

    Step-by-step explanation:

    I assume you need to know how much a burger and how much a soda is.

    Basically it's a system of equations.

    5B + 9S = 28.75

    10B + 10S = 47.5

    There are a few ways to do this, if you like I can show another, but this is how I usually solve a normal system of equations.

    First solve for one variable in one equation. I am going to choose to solve for B in 10B + 10S = 47.5

    10B + 10S = 47.5 (divide the whole thing by 10)

    B + S = 4.75 (subtract S from both sides)

    B = 4.75 - S

    Now plug this B into the other equation.

    5B + 9S = 28.75

    5 (4.75 - S) + 9S = 28.75

    23.75 - 5S + 9S = 28.75 (Now just solve for S

    4S = 5

    S = 5/4

    S = 1.25

    Now plug THIS back into the first one.

    B = 4.75 - S

    B = 4.75 - 1.25

    B = 3.50
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