At a party,
13 of the people are children. The remaining group of people is divided into women and men in the ratio of 4 : 7. Each woman is given 2 magnets and each man is given 5 magnets. Each accompanying child receives 8 magnets. Given that only 312 magnets are given away to women and children, how many more adults are there than children?
Women |
Men |
Children |
2x11 |
1x11 |
4x2 |
7x2 |
|
8 u |
14 u |
11 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 11 is 22.
|
Women |
Men |
Children |
Number |
8 u |
14 u |
11 u |
Value |
2 |
5 |
8 |
Total value |
16 u |
70 u |
88 u |
Number of magnets given away to women and children
= 16 u + 88 u
= 104 u
1 u = 312 ÷ 104 = 3
Number of adults
= 8 u + 14 u
= 22 u
Number of more adults than children
= 22 u - 11 u
= 11 u
= 11 x 3
= 33
Answer(s): 33