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 : 5. Each woman is given 2 keychains and each man is given 4 keychains. Each accompanying child receives 6 keychains. Given that only 500 keychains are given away to women and children, how many more adults are there than children?
| Women |
Men |
Children |
| 2x7 |
1x7 |
| 2x2 |
5x2 |
|
| 4 u |
10 u |
7 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 7 is 14.
| |
Women |
Men |
Children |
| Number |
4 u |
10 u |
7 u |
| Value |
2 |
4 |
6 |
| Total value |
8 u |
40 u |
42 u |
Number of keychains given away to women and children
= 8 u + 42 u
= 50 u
1 u = 500 ÷ 50 = 10
Number of adults
= 4 u + 10 u
= 14 u
Number of more adults than children
= 14 u - 7 u
= 7 u
= 7 x 10
= 70
Answer(s): 70
