I would solve the above question as follows :Fly2high wrote:Hi pls help on the below

There are 8 more adults in swimming class A than swimming class B . If 8 men leave swimming class A, 1/3 of the adults

In swimming class A will be men . If 10 women leave swimming class B , the ratio of men to women in swimming class B

Will become 2:3 . Given that the ratio of the total number of men to women in both swimming

Classes is 3:5, how many adults are there in swimming class A ?

Thanks very much !

Fly2high

For class A,

men : women

1u + 8 : 2u

For class B,

men : women

2p : 3p + 10

1u + 8 + 2u – (2p + 3p + 10) = 8

3u ——- 5p + 10

[(1u + 8) + 2p] x 5 = [2u + (3p + 10)] x 3

5u + 40 + 10p = 6u + 9p + 30

1u ——- 10 + 1p

3(10 + 1p) ——- 5p + 10

2p ——- 20

1p ——- 20/2 = 10

1u ——- 10 + 10 = 20

1u + 8 + 2u ——- 3 x 20 + 8 = 68

Ans : 68 adults.