At a party,
14 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 4 keychains and each woman is given 6 keychains. Each accompanying child receives 8 keychains. Given that only 518 keychains are given away to women and children, how many less men are there than women?
| Men |
Women |
Children |
| 3x4 |
1x4 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
4 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 |
4 u |
| Value |
4 |
6 |
8 |
| Total value |
20 u |
42 u |
32 u |
Number of keychains given away to women and children
= 42 u + 32 u
= 74 u
1 u = 518 ÷ 74 = 7
Number of less men than women
= 7 u - 5 u
= 2 u
= 2 x 7
= 14
Answer(s): 14
