If Jody had $3 more she would have twice as much as Lars together they have $60

Discussion in 'Calculator Requests' started by math_celebrity, Jan 30, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If Jody had $3 more she would have twice as much as Lars together they have $60.

    Let j be Jody's money and l be Lars's money. We have two equations:
    1. j + l = 60
    2. j + 3 = 2l
    Rearrange (2) to solve for j by subtracting 3
    j = 2l - 3

    Now substitute this into (1)
    (2l - 3) + l = 60

    Combine like terms
    3l - 3 = 60

    Enter this into our equation calculator, and we get:
    l = 21

    Now plug l = 21 into our rearranged equation above:
    j = 2(21) - 3
    j = 42 - 3
    j = 39
     

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