The ratio of the number of boys to the number of girls in a class is 2 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 3 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 5 : 3. What is the ratio of girls who scored distinction to the girls who did not score distinction?
Boys |
Girls |
Total |
2x4 = 8 u |
5x4 = 20 u |
7x4 = 28 u |
Distinction |
No distinction |
Total |
3x7 = 21 u |
1x7 = 7 u |
4x7 = 28 u |
Boys |
Girls |
Total |
8 u |
20 u |
28 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
5 u |
3 u |
16 u |
4 u |
28 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 7 and 4 is 28.
Girls who scored distinction : Girls who did not score distinction
16 : 4
4 : 1
Answer(s): 4 : 1