Caroline, Colin & Sarah share some money.
Caroline gets 1/9 of the money.
Colin and Sarah share the rest in the ratio 3:1.
What proportion does Sarah get?
Answers
Step-by-step explanation:
Let total money be 90. 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.
Step-by-step explanation:
Colin gets \frac{2}{9}92 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}92 of the total money