SOLUTION: divide 2700 into 3 parts such that 12 times the first is equal to 5 times the second and 6 times the third

Question 872610: divide 2700 into 3 parts such that 12 times the first is equal to 5 times the second and 6 times the third
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
divide 2700 into 3 parts such that 12 times the first is equal to 5 times the second and 6 times the third.
***
let x=1st part
let y=2nd part
let z=3rd part
...
x+y+z=2700
12x=5y
y=12x/5
12x=6z
z=12x/6

LCD:30
30x+72x+60x=81000
162x=81000
x=500
y=12x/5=1200
z=12x/6=1000
...
1st part=500
2nd part=1200
3rd part=1000

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