At a party,
25 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 7. Each woman is given 3 chocolates and each man is given 4 chocolates. Each accompanying child receives 5 chocolates. Given that only 464 chocolates are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 3x3 |
2x3 |
| 2x1 |
7x1 |
|
| 2 u |
7 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 9 is 9.
| |
Women |
Men |
Children |
| Number |
2 u |
7 u |
6 u |
| Value |
3 |
4 |
5 |
| Total value |
6 u |
28 u |
30 u |
Number of chocolates given away to men and children
= 28 u + 30 u
= 58 u
1 u = 464 ÷ 58 = 8
Number of less women than men
= 7 u - 2 u
= 5 u
= 5 x 8
= 40
Answer(s): 40
