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 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 |
5x5 = 25 u |
8x5 = 40 u |
Gold |
No gold |
Total |
4x8 = 32 u |
1x8 = 8 u |
5x8 = 40 u |
Boys |
Girls |
Total |
15 u |
25 u |
40 u |
Gold |
No Gold |
Gold |
No gold |
|
14 u |
1 u |
18 u |
7 u |
40 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 8 and 5 is 40.
Girls who scored gold : Girls who did not score gold
18 : 7
Answer(s): 18 : 7