At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 4 : 7. Each woman is given 3 magnets and each man is given 4 magnets. Each accompanying child receives 6 magnets. Given that only 204 magnets are given away to women and children, how many more adults are there than children?
| Women |
Men |
Children |
| 3x11 |
1x11 |
| 4x3 |
7x3 |
|
| 12 u |
21 u |
11 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 11 is 33.
| |
Women |
Men |
Children |
| Number |
12 u |
21 u |
11 u |
| Value |
3 |
4 |
6 |
| Total value |
36 u |
84 u |
66 u |
Number of magnets given away to women and children
= 36 u + 66 u
= 102 u
1 u = 204 ÷ 102 = 2
Number of adults
= 12 u + 21 u
= 33 u
Number of more adults than children
= 33 u - 11 u
= 22 u
= 22 x 2
= 44
Answer(s): 44
