The ratio of the number of boys to the number of girls in a class is 2 : 5. The ratio of the pupils in the class who scored merit to those who did not score merit is 5 : 1. The ratio of the boys who scored merit to those who did not score merit is 11 : 1. What is the ratio of girls who scored merit to the girls who did not score merit?
Boys |
Girls |
Total |
2x6 = 12 u |
5x6 = 30 u |
7x6 = 42 u |
Merit |
No merit |
Total |
5x7 = 35 u |
1x7 = 7 u |
6x7 = 42 u |
Boys |
Girls |
Total |
12 u |
30 u |
42 u |
Merit |
No Merit |
Merit |
No merit |
|
11 u |
1 u |
24 u |
6 u |
42 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 7 and 6 is 42.
Girls who scored merit : Girls who did not score merit
24 : 6
4 : 1
Answer(s): 4 : 1