SOLUTION: Divide 81 into three parts so that 1/2 of 1st, 1/3 of 2nd and 1/4 of 3rd are equal.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Divide 81 into three parts so that 1/2 of 1st, 1/3 of 2nd and 1/4 of 3rd are equal.      Log On


   

Question 872828: Divide 81 into three parts so that 1/2 of 1st, 1/3 of 2nd and 1/4 of 3rd are equal.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Divide 81 into three parts so that 1/2 of 1st, 1/3 of 2nd and 1/4 of 3rd are equal.
let x=1st part
let y=2nd part
let z=3rd part
..
x/2=y/3
2y=3x
y=3x/2
..
x/2=z/4
2z=4x
z=2x
..
x+y+z=81
x+3x/2+2x=81
4.5x=81
x=18
y=27
z=36
1st part=18
2nd part=27
3rd part=36