At a party,
25 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 7. Each woman is given 2 magnets and each man is given 5 magnets. Each accompanying child receives 8 magnets. Given that only 156 magnets are given away to women and children, how many more adults are there than children?
Women |
Men |
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.
|
Women |
Men |
Children |
Number |
2 u |
7 u |
6 u |
Value |
2 |
5 |
8 |
Total value |
4 u |
35 u |
48 u |
Number of magnets given away to women and children
= 4 u + 48 u
= 52 u
1 u = 156 ÷ 52 = 3
Number of adults
= 2 u + 7 u
= 9 u
Number of more adults than children
= 9 u - 6 u
= 3 u
= 3 x 3
= 9
Answer(s): 9