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 2 magnets and each man is given 4 magnets. Each accompanying child receives 5 magnets. Given that only 477 magnets are given away to men and children, how many less women are there than men?
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 |
2 |
4 |
5 |
Total value |
6 u |
28 u |
25 u |
Number of magnets given away to men and children
= 28 u + 25 u
= 53 u
1 u = 477 ÷ 53 = 9
Number of less women than men
= 7 u - 3 u
= 4 u
= 4 x 9
= 36
Answer(s): 36