In Super Bowl XXXV, the total number of points scored was 41. The winning team outscored the losing

Discussion in 'Calculator Requests' started by math_celebrity, Nov 12, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    In Super Bowl XXXV, the total number of points scored was 41. The winning team outscored the losing team by 27 points. What was the final score of the game? In Super Bowl XXXV, the total number of points scored was 41. The winning team outscored the losing team by 27 points. What was the final score of the game?

    Let w be the winning team's points, and l be the losing team's points. We have two equations:
    1. w + l = 41
    2. w - l = 27
    Add the two equations:
    2w = 68

    Divide each side by 2
    w = 34

    Substitute this into (1)
    34 + l = 41

    Subtract 34 from each side
    l = 7

    Check your work:
    1. 34 + 7 = 41 <-- check
    2. 34 - 7 = 27 <-- check
    The final score of the game was 34 to 7.

    You could also use our simultaneous equation solver.
     

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