+40 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?
+128474 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
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
Thanks a lot!
