The ratio of the number of boys to the number of girls in a class is 2 : 5. The ratio of the children in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 9 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
Boys |
Girls |
Total |
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Distinction |
No distinction |
Total |
4x7 = 28 u |
1x7 = 7 u |
5x7 = 35 u |
Boys |
Girls |
Total |
10 u |
25 u |
35 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
9 u |
1 u |
19 u |
6 u |
35 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 7 and 5 is 35.
Girls who scored distinction : Girls who did not score distinction
19 : 6
Answer(s): 19 : 6