The ratio of the number of boys to the number of girls in a class is 1 : 4. The ratio of the students 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 1 : 3. What is the ratio of girls who scored merit to the girls who did not score merit?
Boys |
Girls |
Total |
1x4 = 4 u |
4x4 = 16 u |
5x4 = 20 u |
Merit |
No merit |
Total |
3x5 = 15 u |
1x5 = 5 u |
4x5 = 20 u |
Boys |
Girls |
Total |
4 u |
16 u |
20 u |
Merit |
No Merit |
Merit |
No merit |
|
1 u |
3 u |
14 u |
2 u |
20 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 5 and 4 is 20.
Girls who scored merit : Girls who did not score merit
14 : 2
7 : 1
Answer(s): 7 : 1