The ratio of the number of boys to the number of girls in a class is 3 : 4. The ratio of the students in the class who scored gold to those who did not score gold is 4 : 1. The ratio of the boys who scored gold to those who did not score gold is 14 : 1. What is the ratio of girls who scored gold to the girls who did not score gold?
Boys |
Girls |
Total |
3x5 = 15 u |
4x5 = 20 u |
7x5 = 35 u |
Gold |
No gold |
Total |
4x7 = 28 u |
1x7 = 7 u |
5x7 = 35 u |
Boys |
Girls |
Total |
15 u |
20 u |
35 u |
Gold |
No Gold |
Gold |
No gold |
|
14 u |
1 u |
14 u |
6 u |
35 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 7 and 5 is 35.
Girls who scored gold : Girls who did not score gold
14 : 6
7 : 3
Answer(s): 7 : 3