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 Colin get?

MathsMia
Feb 21, 2017

#1**+5 **

Colin and Sarah get 1 - 1/9 = 8/9 of the money

A ratio of 3 :1 means that there are 4 parts of the 8/9....so....each part = 8/9 * 1/4 = 8/36 = 2/9

And Colin gets 3 parts of the 8/9 = 3 * 2/9 = 6/9 = 2/3 of the money

CPhill
Feb 21, 2017

#2**+5 **

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 Colin get?

Let the amount of money shared =M

Caroline's share is =1/9M, then Colin and Sarah's share will be:

1 - 1/9M =8/9M, then we have:

8/9M / 4 =8/9M x 1/4 =8/36M, then:

8/36M x 3 =24/36M =2/3M - This is Colin's share.

8/36M =2/9M - This is Sarah's share. So that:

2/3M:2/9M = 3:1 Ratio. And also,

1/9M + 2/3M + 2/9M =M

Guest Feb 21, 2017