Answer:
Colin gets [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
One part is excluded in the problem. That part is:
"Caroline gets [tex]\frac{1}{9}[/tex] of the money."
Solution:
If Caroline gets 1/9th, then remaining is:
[tex]1-\frac{1}{9}=\frac{8}{9}[/tex]
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:
[tex]\frac{\frac{8}{9}}{4}=\frac{2}{9}[/tex]
We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:
[tex]3*\frac{2}{9}=\frac{6}{9}=\frac{2}{3}[/tex]
Colin gets [tex]\frac{2}{3}[/tex]
