At a gathering,
13 of the people are children. The remaining group of people is divided into women and men in the ratio of 3 : 5. Each woman is given 3 candies and each man is given 4 candies. Each accompanying child receives 5 candies. Given that only 320 candies are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 2x4 |
1x4 |
| 3x1 |
5x1 |
|
| 3 u |
5 u |
4 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 8 is 8.
| |
Women |
Men |
Children |
| Number |
3 u |
5 u |
4 u |
| Value |
3 |
4 |
5 |
| Total value |
9 u |
20 u |
20 u |
Number of candies given away to men and children
= 20 u + 20 u
= 40 u
1 u = 320 ÷ 40 = 8
Number of less women than men
= 5 u - 3 u
= 2 u
= 2 x 8
= 16
Answer(s): 16
