At a party,
13 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 5. Each man is given 2 magnets and each woman is given 4 magnets. Each accompanying child receives 7 magnets. Given that only 342 magnets are given away to men and children, how many more adults are there than children?
| Men |
Women |
Children |
| 2x7 |
1x7 |
| 2x2 |
5x2 |
|
| 4 u |
10 u |
7 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 7 is 14.
| |
Men |
Women |
Children |
| Number |
4 u |
10 u |
7 u |
| Value |
2 |
4 |
7 |
| Total value |
8 u |
40 u |
49 u |
Number of magnets given away to men and children
= 8 u + 49 u
= 57 u
1 u = 342 ÷ 57 = 6
Number of adults
= 4 u + 10 u
= 14 u
Number of more adults than children
= 14 u - 7 u
= 7 u
= 7 x 6
= 42
Answer(s): 42
