At a party,
25 of the people are children. The remaining group of people is divided into women and men in the ratio of 4 : 5. Each woman is given 3 magnets and each man is given 6 magnets. Each accompanying child receives 8 magnets. Given that only 540 magnets are given away to women and children, how many more adults are there than children?
| Women |
Men |
Children |
| 3x3 |
2x3 |
| 4x1 |
5x1 |
|
| 4 u |
5 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 9 is 9.
| |
Women |
Men |
Children |
| Number |
4 u |
5 u |
6 u |
| Value |
3 |
6 |
8 |
| Total value |
12 u |
30 u |
48 u |
Number of magnets given away to women and children
= 12 u + 48 u
= 60 u
1 u = 540 ÷ 60 = 9
Number of adults
= 4 u + 5 u
= 9 u
Number of more adults than children
= 9 u - 6 u
= 3 u
= 3 x 9
= 27
Answer(s): 27
