The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the students in the class who scored gold to those who did not score gold is 2 : 1. The ratio of the boys who scored gold to those who did not score gold is 7 : 2. What is the ratio of girls who scored gold to the girls who did not score gold?
Boys |
Girls |
Total |
3x3 = 9 u |
5x3 = 15 u |
8x3 = 24 u |
Gold |
No gold |
Total |
2x8 = 16 u |
1x8 = 8 u |
3x8 = 24 u |
Boys |
Girls |
Total |
9 u |
15 u |
24 u |
Gold |
No Gold |
Gold |
No gold |
|
7 u |
2 u |
9 u |
6 u |
24 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 8 and 3 is 24.
Girls who scored gold : Girls who did not score gold
9 : 6
3 : 2
Answer(s): 3 : 2