Math Help

Brayden is investing $1,617 in three different stocks: Zycodec, Unix, and Xenon. He will invest 40% of the total between Zycodec and Xenon and the rest in the Unix stock. Twice as much as the investment in Zycodec will be given to Xenon. How much will Brayden invest in the Unix stock?

40% x 1617 = 648.80 Split between  X and Z stock.

2/3 is invested in X   1/3 in Z  =    431.20 in X   215.60 in Z

1617 - 648.8 = 968.20 in U stock

Solve these:

(1)   Z + U + X = 1617

(2)   U = 0.4 * (X - Z) (did I understand "40% of the total between Z and X" right?)

(3)   2Z = X

(3) in (2)  U = 0.4 * (2Z - Z) = 0.4 Z

(1) : Z + 0.4 Z + 2 Z = 1617

       3,4 Z = 1617

             Z = 1617/3.4 = 475.58

(3) : X = 2Z = 475.58*2 = 951.176

(2):  U = 0.4 * Z = 0.4*475.58 = 190.232 

Edit: the other answer might be correct 

x =   amount in Zycodec

2x  =  amount in Xenon

.40( x + 2x) =  .40(3x) =  amount  in Unix

( x + 2x)  +  .40(x + 2x)  =  1617

3x  + .40(3x)  = 1517

3x + 1.2x  = 1617

4.2x = 1617

x = 1617/4.2  = $385

.40(3*385)  =  $462 =  amount  in Unix