SOLUTION: Divide 22 into two parts in such a way that 2/3 of one part is equal to 1/4 of the other.

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Question 1078559: Divide 22 into two parts in such a way that 2/3 of one part is equal to 1/4 of the other.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x and 22-x are the parts
(2/3)x=(1/4)(22-x)=5.5-(1/4)x
(11/12)x=5.5=11/2
(x/12)=(1/2)
multiply through by 12
x=6
one part is 6, the other 16
(2/3) of 6 is 4, and that is 1/4 of 16.