At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 5. Each woman is given 2 chocolates and each man is given 4 chocolates. Each accompanying child receives 6 chocolates. Given that only 204 chocolates are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 3x7 |
1x7 |
| 2x3 |
5x3 |
|
| 6 u |
15 u |
7 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 7 is 21.
| |
Women |
Men |
Children |
| Number |
6 u |
15 u |
7 u |
| Value |
2 |
4 |
6 |
| Total value |
12 u |
60 u |
42 u |
Number of chocolates given away to men and children
= 60 u + 42 u
= 102 u
1 u = 204 ÷ 102 = 2
Number of less women than men
= 15 u - 6 u
= 9 u
= 9 x 2
= 18
Answer(s): 18
