If 100 runners went with 4 bicyclists and 5 walkers, how many bicyclists would go with 20 runners an

Discussion in 'Calculator Requests' started by math_celebrity, Oct 30, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If 100 runners went with 4 bicyclists and 5 walkers, how many bicyclists would go with 20 runners and 2 walkers?

    Set up a joint variation equation, for the 100 runners, 4 bicyclists, and 5 walkers:
    100 = 4 * 5 * k
    100 = 20k

    Divide each side by 20
    k = 5 <-- Coefficient of Variation

    Now, take scenario 2 to determine the bicyclists with 20 runners and 2 walkers
    20 = 2 * 5 * b
    20 = 10b

    Divide each side by 10
    b = 2
     

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