# 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)
15x = 4080
x = 272 , in #1 .... y = 203.30

so at the beginning:

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

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