At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 7. Each woman is given 2 keychains and each man is given 4 keychains. Each accompanying child receives 7 keychains. Given that only 147 keychains are given away to men and children, how many less women are there than men?
Women |
Men |
Children |
3x3 |
1x3 |
2x1 |
7x1 |
|
2 u |
7 u |
3 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 9 is 9.
|
Women |
Men |
Children |
Number |
2 u |
7 u |
3 u |
Value |
2 |
4 |
7 |
Total value |
4 u |
28 u |
21 u |
Number of keychains given away to men and children
= 28 u + 21 u
= 49 u
1 u = 147 ÷ 49 = 3
Number of less women than men
= 7 u - 2 u
= 5 u
= 5 x 3
= 15
Answer(s): 15