At a gathering,
13 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 5 candies. Each accompanying child receives 8 candies. Given that only 249 candies are given away to women and children, how many less men are there than women?
Men |
Women |
Children |
2x6 |
1x6 |
5x1 |
7x1 |
|
5 u |
7 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 12 is 12.
|
Men |
Women |
Children |
Number |
5 u |
7 u |
6 u |
Value |
3 |
5 |
8 |
Total value |
15 u |
35 u |
48 u |
Number of candies given away to women and children
= 35 u + 48 u
= 83 u
1 u = 249 ÷ 83 = 3
Number of less men than women
= 7 u - 5 u
= 2 u
= 2 x 3
= 6
Answer(s): 6