Question

Caroline, Colin & Sarah share some money.

Caroline gets of the money.
Colin and Sarah share the rest in the ratio 3:1.
"What proportion does Colin get?

Answer 1

Colin gets
`(2)/(3)`

Explanation:

One part is excluded in the problem. That part is:

"Caroline gets
`(1)/(9)` of the money."

Solution:

If Caroline gets 1/9th, then remaining is:

`1-(1)/(9)=(8)/(9)`

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

`((8)/(9))/(4)=(2)/(9)`

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

`3*(2)/(9)=(6)/(9)=(2)/(3)`

Colin gets
`(2)/(3)`