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6 March, 20:25

One family ordered three burgers and three sodas and their bill was $12. Another family ordered five burgers and three sodas and paid $18. How much did it cost for one burger and one soda

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  1. 6 March, 22:58
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    a single burger costs $2, and a single soda costs $1.

    Step-by-step explanation:

    Lets set up a system of equations, with b for the burgers and s for the sodas

    3b + 3s = 12

    5b + 3s = 18

    rewriting to switch the order of the equations

    5b + 3s = 18

    3b + 3s = 12

    Then, we need to eliminate one variable to make it easier for us to find both, let's eliminate s by multiplying the entire bottom equation by - 1

    5b + 3s = 18

    -3b - 3s = - 12

    adding the two together, we get

    2b = 6

    divide by 2 on both sides and we get

    b = 3

    THen, we take that value and plug it in to either of our first two equations (I'm using the first equation), and we get

    3 * 3 + 3s = 12

    multiply

    9 + 3s = 12

    subtract 9 from both sides

    3 s = 3

    divide both sides by 3

    s = 1

    this means that a single burger costs $2, and a single soda costs $1.
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