At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 4 : 7. Each woman is given 3 magnets and each man is given 6 magnets. Each accompanying child receives 8 magnets. Given that only 428 magnets are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 3x11 |
1x11 |
| 4x3 |
7x3 |
|
| 12 u |
21 u |
11 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 11 is 33.
| |
Women |
Men |
Children |
| Number |
12 u |
21 u |
11 u |
| Value |
3 |
6 |
8 |
| Total value |
36 u |
126 u |
88 u |
Number of magnets given away to men and children
= 126 u + 88 u
= 214 u
1 u = 428 ÷ 214 = 2
Number of less women than men
= 21 u - 12 u
= 9 u
= 9 x 2
= 18
Answer(s): 18
