The ratio of the number of girls to the number of boys in a class is 3 : 4. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 2 : 1. The ratio of the girls who scored distinction to those who did not score distinction is 8 : 1. What is the ratio of boys who scored distinction to the boys who did not score distinction?
| Girls |
Boys |
Total |
3x3 =
9 u |
4x3 =
12 u |
7x3 =
21 u |
| Distinction |
No distinction |
Total |
2x7 =
14 u |
1x7 =
7 u |
3x7 =
21 u |
| Girls |
Boys |
Total |
| 9 u |
12 u |
21 u |
| Distinction |
No Distinction |
Distinction |
No distinction |
|
| 8 u |
1 u |
6 u |
6 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 distinction : Boys who did not score distinction
6 : 6
1 : 1
Answer(s): 1 : 1
