The ratio of the number of men to the number of women on a bus was 2: 3 at a bus stop. 4 women got off and the ratio became 4: 5. 1 how many men were on the bus? b. how many women were on the bus in the end?

16 men

20 women

Step-by-step explanation:

We are given that the ratio of the number of men to the number of women on a bus was 2:3 at a bus stop.

So assuming x to be the number of persons (male or female), we can write it as:

When 4 women got off the bus, the ratio changed to 4:5.

Solving it to find x:

So, number of men on the bus = = 16

and number of women on the bus at the end = = 20

At the beginning

16 men and 24 women

In the end

16 men and 20 women

Step-by-step explanation:

Call x the number of men on the bus and call y the number of women on the bus.

We know that the initial ratio between men and women is 2: 3

And the final ratio is 4: 5

So

  (1)

After the 4 women are down, the proportion is:

  (2)

Substitute the value of y in the first equation and solve for x

Now solve for y.

Then at the end there were 20 women  (because 4 women got off the bus)

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