At a gathering,
25 of the people are children. The remaining group of people is divided into men and women in the ratio of 5 : 7. Each man is given 3 candies and each woman is given 4 candies. Each accompanying child receives 6 candies. Given that only 304 candies are given away to women and children, how many less men are there than women?
| Men |
Women |
Children |
| 3x4 |
2x4 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
8 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 12 is 12.
| |
Men |
Women |
Children |
| Number |
5 u |
7 u |
8 u |
| Value |
3 |
4 |
6 |
| Total value |
15 u |
28 u |
48 u |
Number of candies given away to women and children
= 28 u + 48 u
= 76 u
1 u = 304 ÷ 76 = 4
Number of less men than women
= 7 u - 5 u
= 2 u
= 2 x 4
= 8
Answer(s): 8
