There are 32 female performers in dance recital. the ratio of men to women is 3: 8. how many men are in the recital

3:8 = n:32

you multiply the ratio 3:8 by 4 to get the 32 female performers, so you multiply the 3 by 4 to get the variable n, which is how many men there are. so, 3×4=12
3:8 × 4:4 = 12:32

there are 12 men in the recital.

hope that helped and wasn't too confusing!