
By: Jane Lim (offline) Friday, May 27 2011 @ 10:15 PM CDT (Read 1395 times)



Jane Lim 
Basket A and B have an equal number of marbles. The number of blue marbles in Basket A is 3/5 of the number of blue marbles in Basket B. The number of red marbles in Basket B is 3/7 of the number of red marbles in Basket A. What is the ratio of the number of blue marbles to the number of red marbles in Basket B?
The given answer is 10:3 but my answer is 5:3. Please help.
Many thanks!

Newbie
Registered: 10/01/10 Posts: 11





learnandshare 
Hi Jane
I obtained the ratio 10: 3. My approach is as follows:
The number of blue marbles in Basket A is 3/5 of the number of blue marbles in Basket B means:
3 units of blue marbles in Basket A: 3Blue
5 units of blue marbles in Basket B :5Blue
The number of red marbles in Basket B is 3/7 of the number of red marbles in Basket A means:
3 units of red marbles in Basket B: 3Red
7 units of red marbles in Basket A: 7Red
Note 1 unit in blue is not equal to 1 unit in red.
However, total marbles in Basket A = Basket B. Hence:
3Blue + 7 Red (for basket A) equal to
5Blue + 3 Red (for Basket
4Red = 2 Blue
2Red = 1Blue (Eq *)
Ratio of the number of blue marbles to the number of red marbles in Basket B:
5Blue : 3Red
Convert to all red unitsby refering to Eq *.
10 Red :3 Red which gives the ratio: 10:3
Rgds
IT

Newbie
Registered: 06/03/11 Posts: 2



