At a party,
25 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 7. Each man is given 3 magnets and each woman is given 4 magnets. Each accompanying child receives 5 magnets. Given that only 72 magnets are given away to men and children, how many more adults are there than children?
Men |
Women |
Children |
3x3 |
2x3 |
2x1 |
7x1 |
|
2 u |
7 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 9 is 9.
|
Men |
Women |
Children |
Number |
2 u |
7 u |
6 u |
Value |
3 |
4 |
5 |
Total value |
6 u |
28 u |
30 u |
Number of magnets given away to men and children
= 6 u + 30 u
= 36 u
1 u = 72 ÷ 36 = 2
Number of adults
= 2 u + 7 u
= 9 u
Number of more adults than children
= 9 u - 6 u
= 3 u
= 3 x 2
= 6
Answer(s): 6