Problema Solution

In a concert hall, 1/7 of the audience were children. 75% of the adults were women. There were 280 more women than children.

a) How many women were there in the hall?

b) During the interval, some men left the hall. As a result, 12% of the remaining audiences were men. How many men left the hall?

Answer provided by our tutors

Total audience = x

children =x/7

woman = (x-x/7)*75/100

((x-x/7)*75/100)-x/7 =280

x=560

total audience = 560

chidren =560/7= 80

adults =560-80=480

woman= 480*75/100= 360

men =480-360-120