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

Question

asked Sep 15, 2019 99.8k views

1 Answer

Jrjohnson · Answer 1 · 2019-09-20T02:24:52+0000

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