The ratio of the number of girls to the number of boys in a class is 1 : 6. The ratio of the children in the class who scored merit to those who did not score merit is 5 : 1. The ratio of the girls who scored merit to those who did not score merit is 1 : 5. What is the ratio of boys who scored merit to the boys who did not score merit?
Girls |
Boys |
Total |
1x6 = 6 u |
6x6 = 36 u |
7x6 = 42 u |
Merit |
No merit |
Total |
5x7 = 35 u |
1x7 = 7 u |
6x7 = 42 u |
Girls |
Boys |
Total |
6 u |
36 u |
42 u |
Merit |
No Merit |
Merit |
No merit |
|
1 u |
5 u |
34 u |
2 u |
42 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 7 and 6 is 42.
Boys who scored merit : Boys who did not score merit
34 : 2
17 : 1
Answer(s): 17 : 1