At a party,
14 of the people are children. The remaining group of people is divided into men and women in the ratio of 3 : 7. Each man is given 2 chocolates and each woman is given 4 chocolates. Each accompanying child receives 7 chocolates. Given that only 462 chocolates are given away to women and children, how many less men are there than women?
Men |
Women |
Children |
3x10 |
1x10 |
3x3 |
7x3 |
|
9 u |
21 u |
10 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 10 is 30.
|
Men |
Women |
Children |
Number |
9 u |
21 u |
10 u |
Value |
2 |
4 |
7 |
Total value |
18 u |
84 u |
70 u |
Number of chocolates given away to women and children
= 84 u + 70 u
= 154 u
1 u = 462 ÷ 154 = 3
Number of less men than women
= 21 u - 9 u
= 12 u
= 12 x 3
= 36
Answer(s): 36