At a party,
25 of the people are children. The remaining group of people is divided into women and men in the ratio of 5 : 7. Each woman is given 2 keychains and each man is given 3 keychains. Each accompanying child receives 4 keychains. Given that only 583 keychains are given away to men and children, how many less women are there than men?
Women |
Men |
Children |
3x4 |
2x4 |
5x1 |
7x1 |
|
5 u |
7 u |
8 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 12 is 12.
|
Women |
Men |
Children |
Number |
5 u |
7 u |
8 u |
Value |
2 |
3 |
4 |
Total value |
10 u |
21 u |
32 u |
Number of keychains given away to men and children
= 21 u + 32 u
= 53 u
1 u = 583 ÷ 53 = 11
Number of less women than men
= 7 u - 5 u
= 2 u
= 2 x 11
= 22
Answer(s): 22