Posted by **brieanna** on Monday, February 18, 2013 at 8:32pm.

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 -
**Reiny**, Monday, February 18, 2013 at 10:09pm
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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