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 : 5. Each woman is given 3 magnets and each man is given 4 magnets. Each accompanying child receives 5 magnets. Given that only 106 magnets are given away to women and children, how many more adults are there than children?
| Women |
Men |
Children |
| 3x7 |
1x7 |
| 2x3 |
5x3 |
|
| 6 u |
15 u |
7 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 7 is 21.
| |
Women |
Men |
Children |
| Number |
6 u |
15 u |
7 u |
| Value |
3 |
4 |
5 |
| Total value |
18 u |
60 u |
35 u |
Number of magnets given away to women and children
= 18 u + 35 u
= 53 u
1 u = 106 ÷ 53 = 2
Number of adults
= 6 u + 15 u
= 21 u
Number of more adults than children
= 21 u - 7 u
= 14 u
= 14 x 2
= 28
Answer(s): 28
