At a party,
13 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 7. Each man is given 3 keychains and each woman is given 4 keychains. Each accompanying child receives 6 keychains. Given that only 330 keychains are given away to men and children, how many more adults are there than children?
| Men |
Women |
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.
| |
Men |
Women |
Children |
| Number |
4 u |
14 u |
9 u |
| Value |
3 |
4 |
6 |
| Total value |
12 u |
56 u |
54 u |
Number of keychains given away to men and children
= 12 u + 54 u
= 66 u
1 u = 330 ÷ 66 = 5
Number of adults
= 4 u + 14 u
= 18 u
Number of more adults than children
= 18 u - 9 u
= 9 u
= 9 x 5
= 45
Answer(s): 45
