The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the children 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 8 : 1. 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 |
|
8 u |
1 u |
8 u |
7 u |
24 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 8 and 3 is 24.
Girls who scored gold : Girls who did not score gold
8 : 7
Answer(s): 8 : 7