16 of the people in a concert hall are women.
15 of the remainder are men and the rest are children. There are 870 more children than men. How many people are there in the concert hall altogether?
| Women |
Men |
Children |
Total |
| 1 |
5 |
6 |
| |
1 |
4 |
|
| 1 u |
1 u |
4 u |
6 |
Fraction of the people that are men and children
= 1 -
16 =
56 Fraction of the remaining people that are children
= 1 -
15 =
45 Total number of people = 6 u
Number of women = 1 u
Number of men = 1 u
Number of children = 4 u
Number of more children than men
= 4 u - 1 u
= 3 u
3 u = 870
1 u = 870 ÷ 3 = 290
Total number of people
= 6 u
= 6 x 290
= 1740
Answer(s): 1740
