112 of the people in a park are men.
311 of the remainder are women and the rest are children. There are 500 more children than women. How many people are there in the park altogether?
Men |
Women |
Children |
Total |
1 |
11 |
12 |
|
3 |
8 |
|
1 u |
3 u |
8 u |
12 |
Fraction of the people that are women and children
= 1 -
112 =
1112 Fraction of the remaining people that are children
= 1 -
311 =
811 Total number of people = 12 u
Number of men = 1 u
Number of women = 3 u
Number of children = 8 u
Number of more children than women
= 8 u - 3 u
= 5 u
5 u = 500
1 u = 500 ÷ 5 = 100
Total number of people
= 12 u
= 12 x 100
= 1200
Answer(s): 1200