On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two

Discussion in 'Calculator Requests' started by math_celebrity, Oct 28, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lowest grade.

    Let h be the highest grade and l be the lowest grade. Set up the given equations:
    (1) h = l + 42
    (2) h + l = 138

    Substitute (1) into (2)
    l + 42 + l = 138

    Combine l terms
    2l + 42 = 138

    Enter that equation into our equation calculator to get
    l = 48

    Substitute l = 48 into (1)
    h = 48 + 42
    h = 90
     

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