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10 September, 06:23

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. How many nachos and sodas did he sell?

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  1. 10 September, 06:39
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    35 nachos sold and 52 sodas sold

    Step-by-step explanation:

    let x represents number of Nachos sold

    let y represents number of Sodas sold

    We are given two equations, so we can combine them to solve for one variable at a time.

    Equation 1: x + y = 87 (because total of both sold was 87 items)

    Equatiom 2: 1.50 x + 0.50 y = 78.50 (1.5 times number of nachos, plus 0.50 times number of sodas equals 78.50)

    So, y = 87 - x (transpose the n from the first equation)

    Take (87 - x) for y in the equation 2

    1.50 x + 0.50 (87 - x) = 78.50

    1.50 x + 43.50 - 0.50 x = 78.50

    1.50 x - 0.50 x + 43.50 = 78.50

    x + 43.50 = 78.50

    x = 78.50 - 43.50

    x = 35

    To get the y

    y = 87 - 35

    y = 52
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