The ratio of the number of girls to the number of boys in a class is 3 : 5. The ratio of the students in the class who scored merit to those who did not score merit is 2 : 1. The ratio of the girls who scored merit to those who did not score merit is 8 : 1. What is the ratio of boys who scored merit to the boys who did not score merit?
Girls |
Boys |
Total |
3x3 = 9 u |
5x3 = 15 u |
8x3 = 24 u |
Merit |
No merit |
Total |
2x8 = 16 u |
1x8 = 8 u |
3x8 = 24 u |
Girls |
Boys |
Total |
9 u |
15 u |
24 u |
Merit |
No Merit |
Merit |
No merit |
|
8 u |
1 u |
8 u |
7 u |
24 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 8 and 3 is 24.
Boys who scored merit : Boys who did not score merit
8 : 7
Answer(s): 8 : 7