The ratio of the number of girls to the number of boys in a class is 1 : 3. 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 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 |
3x3 = 9 u |
4x3 = 12 u |
Merit |
No merit |
Total |
2x4 = 8 u |
1x4 = 4 u |
3x4 = 12 u |
Girls |
Boys |
Total |
3 u |
9 u |
12 u |
Merit |
No Merit |
Merit |
No merit |
|
1 u |
2 u |
7 u |
2 u |
12 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 4 and 3 is 12.
Boys who scored merit : Boys who did not score merit
7 : 2
Answer(s): 7 : 2