111 of the people in a concert hall are men.
310 of the remainder are women and the rest are children. There are 680 more children than women. How many people are there in the concert hall altogether?
| Men |
Women |
Children |
Total |
| 1 |
10 |
11 |
| |
3 |
7 |
|
| 1 u |
3 u |
7 u |
11 |
Fraction of the people that are women and children
= 1 -
111 =
1011 Fraction of the remaining people that are children
= 1 -
310 =
710 Total number of people = 11 u
Number of men = 1 u
Number of women = 3 u
Number of children = 7 u
Number of more children than women
= 7 u - 3 u
= 4 u
4 u = 680
1 u = 680 ÷ 4 = 170
Total number of people
= 11 u
= 11 x 170
= 1870
Answer(s): 1870
