Question

the ratio of the number of women to that of men at a party was 3:2. when 20 more men joined the party the ratio was reversed the number of women present at the party was

Answer 1

Answer:

24

Step-by-step explanation:

Since the ratio of women to men at the start was 3 : 2, the number of women was 3a and the number of men was 2a, for some a.

After 20 more men joined, the number of men became 2a+20.

As the ratio was then 2 : 3,

3 × (# women) = 2 × (# men)

=> 3 × 3a = 2 × (2a+20)

=> 9a = 4a + 40

=> 5a = 40

=> a = 8

So the number of women was 3a = 3 × 8 = 24.