there are 32 male performers in a dance recital. The ratio of men to woman is 4 : 5. How many woman are in the recital

Question

Using Ratios and Rates to solve problems

Answer 1

4+5 = 9

4/9 is the % men

5.9 is the % of women

4/9 x 32 = men

5/9 x 32 = women

neither are integers, as if there were fractional people present

women = (5/9)32 = 160/9 = 17.777...

maybe 4:5 was rounded, so that there are 18 women and 14 men

maybe the problem was copied incorrectly with a typo, with 32 instead of 36

If it had been 36 total, then 5/9 women would be 20, with 16 men.