At a party,
13 of the people are children. The remaining group of people is divided into men and women in the ratio of 4 : 7. Each man is given 3 keychains and each woman is given 4 keychains. Each accompanying child receives 6 keychains. Given that only 366 keychains are given away to women and children, how many less men are there than women?
Men |
Women |
Children |
2x11 |
1x11 |
4x2 |
7x2 |
|
8 u |
14 u |
11 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 11 is 22.
|
Men |
Women |
Children |
Number |
8 u |
14 u |
11 u |
Value |
3 |
4 |
6 |
Total value |
24 u |
56 u |
66 u |
Number of keychains given away to women and children
= 56 u + 66 u
= 122 u
1 u = 366 ÷ 122 = 3
Number of less men than women
= 14 u - 8 u
= 6 u
= 6 x 3
= 18
Answer(s): 18