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 : 3. Each woman is given 2 magnets and each man is given 3 magnets. Each accompanying child receives 4 magnets. Given that only 329 magnets are given away to men and children, how many less women are there than men?
Women |
Men |
Children |
3x5 |
1x5 |
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 5 is 15.
|
Women |
Men |
Children |
Number |
6 u |
9 u |
5 u |
Value |
2 |
3 |
4 |
Total value |
12 u |
27 u |
20 u |
Number of magnets given away to men and children
= 27 u + 20 u
= 47 u
1 u = 329 ÷ 47 = 7
Number of less women than men
= 9 u - 6 u
= 3 u
= 3 x 7
= 21
Answer(s): 21