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Math

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Tierra,nico, and alex had 856.00 together. Tierra spent 2/5 of her money,nico spent 40.00, and alex spent twice as much as tierra. If the three friends the same amount of money left hw much did alex have in the beginning?

  • Math - ,

    right now:
    Tierra --- x
    Nico --- y
    Alex -- 856-x-y

    after spending spree: amount each one has
    Tierra -- 3x/5
    Nico --- y-40
    Alex --- 856 - x- y -(4x/5)

    so 3x/5 = y-40
    3x = 5y - 200
    3x - 5y = -200 (#1)

    and 3x/5 = 856-x-y-4x/5
    times 5
    3x = 4280 - 5x - 5y - 4x
    12x + 5y = 4280 (#2)
    add #1 and #2
    15x = 4080
    x = 272 , in #1 .... y = 203.30

    so at the beginning:
    Tierra had 272
    Nico had 203.30
    Alex had 380.80


    check:
    Tierra spent (2/5) of 272 or 108.8, leaving her with 163.2
    Nico spent 40 of his 203.8 , leaving him with 163.8
    Alex spent twice (108.8) or 217.6 , leaving him with 163.2
    How about that!!!!

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