At a party,
13 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 3 keychains. Each accompanying child receives 5 keychains. Given that only 106 keychains are given away to women and children, how many more adults are there than children?
Women |
Men |
Children |
2x9 |
1x9 |
2x2 |
7x2 |
|
4 u |
14 u |
9 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 9 is 18.
|
Women |
Men |
Children |
Number |
4 u |
14 u |
9 u |
Value |
2 |
3 |
5 |
Total value |
8 u |
42 u |
45 u |
Number of keychains given away to women and children
= 8 u + 45 u
= 53 u
1 u = 106 ÷ 53 = 2
Number of adults
= 4 u + 14 u
= 18 u
Number of more adults than children
= 18 u - 9 u
= 9 u
= 9 x 2
= 18
Answer(s): 18