A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/5 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin  Choose the correct choice from the following choices:
A) 21/31
B) 9/4
C) 5/9
D) 7/5
E) 9/7
This will help reduce the number of variables you have to deal with:   G + B = 2/3   R = 1/3   B = 1/5   We can solve for G which is 7/10   What fraction (let it equal X) of the cookies that were placed in the other tins were placed in the green tin?   So..   X*(G+R)=G   X*(7/10 + 1/3) = 7/10   X = 21/31   21/31NSWER: 21/31
<result>A</result>
A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/5 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin