The ratio of the number of boys to the number of girls in a class is 2 : 3. The ratio of the children in the class who scored merit to those who did not score merit is 3 : 1. The ratio of the boys who scored merit to those who did not score merit is 5 : 3. What is the ratio of girls who scored merit to the girls who did not score merit?
Boys |
Girls |
Total |
2x4 = 8 u |
3x4 = 12 u |
5x4 = 20 u |
Merit |
No merit |
Total |
3x5 = 15 u |
1x5 = 5 u |
4x5 = 20 u |
Boys |
Girls |
Total |
8 u |
12 u |
20 u |
Merit |
No Merit |
Merit |
No merit |
|
5 u |
3 u |
10 u |
2 u |
20 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 5 and 4 is 20.
Girls who scored merit : Girls who did not score merit
10 : 2
5 : 1
Answer(s): 5 : 1