There were 8,000 people at a concert hall at first. 40% of the people at the concert were men and the rest were women. After some men and 50 women left, the ratio of the number of men to women who remained in the concert hall was 3 : 5. How many people left the concert hall?

Guest Apr 28, 2021

edited by
Guest
Apr 28, 2021

#1**+1 **

8000 * .40 = 3200 were originally men

So

8000 - 3200 = 4800 were women

When 50 women left there were 4750

Let x be the number of men who left

And we ,now that

3200 - x 3

________ = ___ cross-multiply

4750 5

5 (3200 - x) = 3(4750)

16000 - 5x = 14250

16000 - 14250 = 5x

1750 = 5x

1750 / 5 = 350 men left

So 50 + 350 = 400 left

CPhill Apr 28, 2021