At a party,
25 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 5. Each woman is given 2 magnets and each man is given 3 magnets. Each accompanying child receives 4 magnets. Given that only 202 magnets are given away to men and children, how many less women are there than men?
Women |
Men |
Children |
3x7 |
2x7 |
2x3 |
5x3 |
|
6 u |
15 u |
14 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 7 is 21.
|
Women |
Men |
Children |
Number |
6 u |
15 u |
14 u |
Value |
2 |
3 |
4 |
Total value |
12 u |
45 u |
56 u |
Number of magnets given away to men and children
= 45 u + 56 u
= 101 u
1 u = 202 ÷ 101 = 2
Number of less women than men
= 15 u - 6 u
= 9 u
= 9 x 2
= 18
Answer(s): 18