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Thursday, October 19 2017 @ 03:57 AM CDT
 Forum Index >  Test Paper Related >  Primary 6 Matters
 RGS 2010 SA 1 Paper 2 Qn 4
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By: Jane Lim (offline)  Friday, May 27 2011 @ 10:15 PM CDT (Read 1389 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!

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By: learnandshare (offline)  Friday, June 03 2011 @ 10:09 AM CDT  
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 Cool

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

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