At a party,
25 of the people are children. The remaining group of people is divided into women and men in the ratio of 5 : 7. Each woman is given 4 magnets and each man is given 7 magnets. Each accompanying child receives 8 magnets. Given that only 339 magnets are given away to men and children, how many less women are there than men?
Women |
Men |
Children |
3x4 |
2x4 |
5x1 |
7x1 |
|
5 u |
7 u |
8 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 12 is 12.
|
Women |
Men |
Children |
Number |
5 u |
7 u |
8 u |
Value |
4 |
7 |
8 |
Total value |
20 u |
49 u |
64 u |
Number of magnets given away to men and children
= 49 u + 64 u
= 113 u
1 u = 339 ÷ 113 = 3
Number of less women than men
= 7 u - 5 u
= 2 u
= 2 x 3
= 6
Answer(s): 6