A local shop sold 499 hamburgers and cheese burgers. There were 51 fewer cheese burgers sold. How ma

Discussion in 'Calculator Requests' started by math_celebrity, Sep 16, 2016.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    A local shop sold 499 hamburgers and cheese burgers. There were 51 fewer cheese burgers sold. How many hamburgers were sold?

    Let h = number of hamburgers sold and c be the number of cheeseburgers sold.

    We have two equations:

    (1) c = h - 51
    (2) c + h = 499

    Substitute (1) into (2)
    h - 51 + h = 499

    Combine like terms
    2h - 51 = 499

    Add 51 to both sides
    2h = 550

    Divide each side by 2 to isolate h
    h = 275
     

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