Question

5/8 people vote for blue

5/9 of remaining voters vote for green

The remaining 48 voters vote for red

How many people vote for blue

Answer 1

The number of people vote for blue is 180.

Explanation:

Let there are x numbers of total people.

So,
`(5)/(8)` of total people vote for blue i.e.
`(5x)/(8)` people vote for blue.

Now, the remaining number of people are
`(x - (5x)/(8)) = (3x)/(8)`.

If
`(5)/(9)` of the remaining people vote for green, then the number of people vote for green will be
`((3x)/(8) * (5)/(9)) = (5x)/(24)`.

Therefore, finally the remaining number of people is
`((3x)/(8) - (5x)/(24)) = (x)/(6)` and they vote for red.

Now,
`(x)/(6) = 48` {Given}

⇒ x = 288

And the number of people vote for blue is
`(5x)/(8) = (5 * 288)/(8) = 180`. (Answer)