Math
posted by brieanna on .
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?

right now:
Tierra  x
Nico  y
Alex  856xy
after spending spree: amount each one has
Tierra  3x/5
Nico  y40
Alex  856  x y (4x/5)
so 3x/5 = y40
3x = 5y  200
3x  5y = 200 (#1)
and 3x/5 = 856xy4x/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!!!!