During a recent season Miguel Cabrera and Mike Jacobs hit a combined total of 46 home runs. Cabrera

Discussion in 'Calculator Requests' started by math_celebrity, Sep 5, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    During a recent season Miguel Cabrera and Mike Jacobs hit a combined total of 46 home runs. Cabrera hit 6 more home runs than Jacobs how many home runs did each player hit

    Let c be Miguel Cabrera's home runs and j be Mike Jacobs home runs. We are given two equations:
    1. c + j = 46
    2. c = j + 6
    Substitute (2) into (1)
    (j + 6) + j = 46

    Combine like terms:
    2j + 6 = 46

    Plugging this into our equation calculator, we get j = 20.

    Substitute this into equation (2), we have:
    c = 20 + 6
    c = 26

    Therefore, Mike Jacobs hit 20 home runs and Miguel Cabrera hit 26 home runs.
     

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