At a party,
14 of the people are children. The remaining group of people is divided into men and women in the ratio of 5 : 7. Each man is given 4 magnets and each woman is given 6 magnets. Each accompanying child receives 7 magnets. Given that only 420 magnets are given away to women and children, how many less men are there than women?
Men |
Women |
Children |
3x4 |
1x4 |
5x1 |
7x1 |
|
5 u |
7 u |
4 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 12 is 12.
|
Men |
Women |
Children |
Number |
5 u |
7 u |
4 u |
Value |
4 |
6 |
7 |
Total value |
20 u |
42 u |
28 u |
Number of magnets given away to women and children
= 42 u + 28 u
= 70 u
1 u = 420 ÷ 70 = 6
Number of less men than women
= 7 u - 5 u
= 2 u
= 2 x 6
= 12
Answer(s): 12