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

Answer:

16 and 6

Step-by-step explanation:

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

$x+y=22\\\frac{2}{3} x=\frac{1}{4}y$

We see that when multiplying both sides of the second equation by 3/2, we get $x=\frac{3}{8}y$. Now when we plug this into the first equation we get

$\frac{11}{8}y=22\\y=16\\x=22-16=6$