If Mr hernandez has 5 times as many students as Mr daniels and together they have 150 students how m

Discussion in 'Calculator Requests' started by math_celebrity, Sep 11, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If Mr hernandez has 5 times as many students as Mr daniels and together they have 150 students how many students do each have?

    Let h = Mr. Hernandez's students and d = Mr. Daniels students.

    We are given two equations:
    (1) h = 5d
    (2) d + h = 150

    Substitute equation (1) into equation (2)
    d + (5d) = 150

    Combine like terms:
    6d = 150

    Divide each side of the equation by 6 to isolate d
    d = 25 <-- Mr. Daniels Students

    Now, plug the value for d into equation (1)
    h = 5(25)
    h = 125 <-- Mr. Hernandez students
     

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