The ratio of the number of girls to the number of boys in a class is 1 : 6. The ratio of the pupils 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 1 : 2. What is the ratio of boys who scored merit to the boys who did not score merit?
Girls |
Boys |
Total |
1x3 = 3 u |
6x3 = 18 u |
7x3 = 21 u |
Merit |
No merit |
Total |
2x7 = 14 u |
1x7 = 7 u |
3x7 = 21 u |
Girls |
Boys |
Total |
3 u |
18 u |
21 u |
Merit |
No Merit |
Merit |
No merit |
|
1 u |
2 u |
13 u |
5 u |
21 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 7 and 3 is 21.
Boys who scored merit : Boys who did not score merit
13 : 5
Answer(s): 13 : 5