At a party,
13 of the people are children. The remaining group of people is divided into women and men in the ratio of 3 : 7. Each woman is given 4 magnets and each man is given 5 magnets. Each accompanying child receives 6 magnets. Given that only 126 magnets are given away to women and children, how many more adults are there than children?
Women |
Men |
Children |
2x5 |
1x5 |
3x1 |
7x1 |
|
3 u |
7 u |
5 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 10 is 10.
|
Women |
Men |
Children |
Number |
3 u |
7 u |
5 u |
Value |
4 |
5 |
6 |
Total value |
12 u |
35 u |
30 u |
Number of magnets given away to women and children
= 12 u + 30 u
= 42 u
1 u = 126 ÷ 42 = 3
Number of adults
= 3 u + 7 u
= 10 u
Number of more adults than children
= 10 u - 5 u
= 5 u
= 5 x 3
= 15
Answer(s): 15