Question

Caroline, Colin & Sarah share some money. Caroline gets 1 /9 of the money. Colin and Sarah share the rest in the ratio 1:3. What proportion does Colin get?

Answer 1

Answer:

Colin gets  $\frac{2}{9}$ of the total money

Step-by-step explanation:

If we let the total amount be "90" (or any multiple of 9), then the solution gets much easy.

Let total money be 90.

Caroline gets 1/9, so that is:

1/9 * 90 = 10

Remaining is 90 - 10 = 80

This 80 is divided in the ratio 1:3, that means Colin gets 1 part and Sarah gets 3 part. That is 1 + 3 = 4 parts altogether.

80 divided in 4 parts is 80/4 = 20 each part.

Colin gets 1 part, that is 1 * 20 = 20

Colin gets 20 OUT OF 90 (total initial).

What proportion is that? We simply divide and reduce!!

20/90 = 2/9

Colin gets  $\frac{2}{9}$ of the total money