At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 5. Each woman is given 2 magnets and each man is given 5 magnets. Each accompanying child receives 7 magnets. Given that only 305 magnets are given away to women and children, how many more adults are there than children?
Women |
Men |
Children |
3x7 |
1x7 |
2x3 |
5x3 |
|
6 u |
15 u |
7 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 7 is 21.
|
Women |
Men |
Children |
Number |
6 u |
15 u |
7 u |
Value |
2 |
5 |
7 |
Total value |
12 u |
75 u |
49 u |
Number of magnets given away to women and children
= 12 u + 49 u
= 61 u
1 u = 305 ÷ 61 = 5
Number of adults
= 6 u + 15 u
= 21 u
Number of more adults than children
= 21 u - 7 u
= 14 u
= 14 x 5
= 70
Answer(s): 70