At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 4 : 7. Each woman is given 4 keychains and each man is given 5 keychains. Each accompanying child receives 7 keychains. Given that only 364 keychains are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 3x11 |
1x11 |
| 4x3 |
7x3 |
|
| 12 u |
21 u |
11 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 11 is 33.
| |
Women |
Men |
Children |
| Number |
12 u |
21 u |
11 u |
| Value |
4 |
5 |
7 |
| Total value |
48 u |
105 u |
77 u |
Number of keychains given away to men and children
= 105 u + 77 u
= 182 u
1 u = 364 ÷ 182 = 2
Number of less women than men
= 21 u - 12 u
= 9 u
= 9 x 2
= 18
Answer(s): 18
