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 : 7. Each woman is given 2 magnets and each man is given 5 magnets. Each accompanying child receives 6 magnets. Given that only 142 magnets are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 3x3 |
2x3 |
| 2x1 |
7x1 |
|
| 2 u |
7 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 9 is 9.
| |
Women |
Men |
Children |
| Number |
2 u |
7 u |
6 u |
| Value |
2 |
5 |
6 |
| Total value |
4 u |
35 u |
36 u |
Number of magnets given away to men and children
= 35 u + 36 u
= 71 u
1 u = 142 ÷ 71 = 2
Number of less women than men
= 7 u - 2 u
= 5 u
= 5 x 2
= 10
Answer(s): 10
