Question

Ratio men to women on bus is 2:3 4 women got off and ratio is 4:5 how many men are on bus

Answer 1

Solution: Let us suppose there are m men and w women on bus.

Therefore, we have:

`(2)/(3) =(m)/(w)`

`w=(3)/(2) m`

Also we know that after 4 women got off, the ratio of men to women becomes 4:5

We can write:

`(m)/(w-4)=(4)/(5)`

`5m=4w-16` (cross multiplication)

`5m=4* (3)/(2)m -16`
`\because w=(3)/(2) m`

`5m=(12m)/(2)-16`

`5m=6m-16`

`6m-5m=16`

`m=16`

Therefore, there are 16 men on bus