Let's simplify each option to see which one is correct.
Option A:
6 boys, 12 girls → 6:12
6/2:12/2 → 3:6 → 3/3:6/3 → 1:2
Therefore, this option is false.
Option B:
8 boys, 10 girls → 8:10
8/2:10/5 → 4:5
Therefore, this option is false.
Option C:
10 boys, 15 girls → 10:15
10/5:15/5 → 2:3
Therefore, this option is correct.
Option D:
12 girls, 15 boys → 12:15
12/3:15/3 → 4:5
Therefore, this option is incorrect.
The only correct answer is C.
Best of Luck!