At a party,
13 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 5 keychains. Each accompanying child receives 7 keychains. Given that only 156 keychains are given away to women and children, how many more adults are there than children?
| Women |
Men |
Children |
| 2x6 |
1x6 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 12 is 12.
| |
Women |
Men |
Children |
| Number |
5 u |
7 u |
6 u |
| Value |
2 |
5 |
7 |
| Total value |
10 u |
35 u |
42 u |
Number of keychains given away to women and children
= 10 u + 42 u
= 52 u
1 u = 156 ÷ 52 = 3
Number of adults
= 5 u + 7 u
= 12 u
Number of more adults than children
= 12 u - 6 u
= 6 u
= 6 x 3
= 18
Answer(s): 18
