The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the children in the class who scored merit to those who did not score merit is 2 : 1. The ratio of the boys who scored merit to those who did not score merit is 5 : 4. What is the ratio of girls who scored merit to the girls who did not score merit?
Boys |
Girls |
Total |
3x3 = 9 u |
5x3 = 15 u |
8x3 = 24 u |
Merit |
No merit |
Total |
2x8 = 16 u |
1x8 = 8 u |
3x8 = 24 u |
Boys |
Girls |
Total |
9 u |
15 u |
24 u |
Merit |
No Merit |
Merit |
No merit |
|
5 u |
4 u |
11 u |
4 u |
24 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 8 and 3 is 24.
Girls who scored merit : Girls who did not score merit
11 : 4
Answer(s): 11 : 4