At a party,
25 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 3. Each man is given 4 magnets and each woman is given 7 magnets. Each accompanying child receives 8 magnets. Given that only 572 magnets are given away to women and children, how many less men are there than women?
Men |
Women |
Children |
3x5 |
2x5 |
2x3 |
3x3 |
|
6 u |
9 u |
10 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 5 is 15.
|
Men |
Women |
Children |
Number |
6 u |
9 u |
10 u |
Value |
4 |
7 |
8 |
Total value |
24 u |
63 u |
80 u |
Number of magnets given away to women and children
= 63 u + 80 u
= 143 u
1 u = 572 ÷ 143 = 4
Number of less men than women
= 9 u - 6 u
= 3 u
= 3 x 4
= 12
Answer(s): 12