math

Mdm Lee gave Nathan and Jasper some money on Friday.On Saturday,Nathan gave 1/3 of the amount he had to Jasper.On Sunday,Jasper gave 1/3 of the amount he had to Nathan.In the end,Nathan had $96 and Jasper had $120.How much did each of them have at first?

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asked by Crystal
  1. Friday: the amounts are
    n and j

    Saturday:
    2n/3 and j+n/3

    Sunday:
    2n/3 + (1/3)(j+n/3) and (2/3)(j+n/3)
    = j/3 + 7n/9 and 2j/3 + 2n/9

    so,

    j/3 + 7n/9 = 96
    2j/3 + 2n/9 = 120

    Nathan had $54 and Jasper had $162

    I'll let you verify the accuracy of the solution.

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    posted by Steve
  2. I still don't really understand though due to the /

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    posted by Crystal

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