Algebra

Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is {0, 4, 11, 22}.

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  1. The total distance ran is 26 mi.
    To determine how far Kevin and Steve ran you need to determine the distance x.

    Make an equation for the distance Kevin and Steve ran denoting each as x.

    You know that Kevin ran 4 mi more than Steve so

    (x+4) + x = 26

    Minus four from both sides and combined like terms to get.

    2x = 22

    divide both sides to get

    x = 11

    now check your solution makes sense by substituting 11 in place of x in the equation.

    (11)+4 +(11) = 26

    Therefore Kevin ran 15 mi and Steve ran 11.

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