At a party,
25 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 3. Each man is given 3 chocolates and each woman is given 4 chocolates. Each accompanying child receives 6 chocolates. Given that only 576 chocolates are given away to women and children, how many less men are there than women?
| Men |
Women |
Children |
| 3x5 |
2x5 |
| 2x3 |
3x3 |
|
| 6 u |
9 u |
10 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 5 is 15.
| |
Men |
Women |
Children |
| Number |
6 u |
9 u |
10 u |
| Value |
3 |
4 |
6 |
| Total value |
18 u |
36 u |
60 u |
Number of chocolates given away to women and children
= 36 u + 60 u
= 96 u
1 u = 576 ÷ 96 = 6
Number of less men than women
= 9 u - 6 u
= 3 u
= 3 x 6
= 18
Answer(s): 18
