SOLUTION: X,Y,Z share #68.00, so that for every #1.00 that Z gets, Y gets #2.00 and for every #3.00 that Y gets, X gets #4.00. How much does Y get? I was told the answer is 24 but i have no

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: X,Y,Z share #68.00, so that for every #1.00 that Z gets, Y gets #2.00 and for every #3.00 that Y gets, X gets #4.00. How much does Y get? I was told the answer is 24 but i have no       Log On


   

Question 874569: X,Y,Z share #68.00, so that for every #1.00 that Z gets, Y gets #2.00 and for every #3.00 that Y gets, X gets #4.00. How much does Y get? I was told the answer is 24 but i have no idea how they arrived at the answer
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be how much Z gets, then Y=2x, X=4(Y/3)
x+2x+4(2x/3)=68
x+2x+(8x/3)=68
Multiply both sides of = by 3
3x+6x+8x=204
17x = 204
x = 12
Y=2x=2*12=24