The ratio of the number of boys to the number of girls in a class is 2 : 5. The ratio of the students in the class who scored distinction to those who did not score distinction is 2 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 5 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
Boys |
Girls |
Total |
2x3 = 6 u |
5x3 = 15 u |
7x3 = 21 u |
Distinction |
No distinction |
Total |
2x7 = 14 u |
1x7 = 7 u |
3x7 = 21 u |
Boys |
Girls |
Total |
6 u |
15 u |
21 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
5 u |
1 u |
9 u |
6 u |
21 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 7 and 3 is 21.
Girls who scored distinction : Girls who did not score distinction
9 : 6
3 : 2
Answer(s): 3 : 2