Question

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

Answer 1

16 and 6

Explanation:

To solve this we can make a systems of equations saying that

`x+y=22\\(2)/(3) x=(1)/(4)y`

We see that when multiplying both sides of the second equation by 3/2, we get
`x=(3)/(8)y`. Now when we plug this into the first equation we get

`(11)/(8)y=22\\y=16\\x=22-16=6`