At a party,
13 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 7. Each man is given 2 chocolates and each woman is given 3 chocolates. Each accompanying child receives 4 chocolates. Given that only 546 chocolates are given away to women and children, how many less men are there than women?
| Men |
Women |
Children |
| 2x9 |
1x9 |
| 2x2 |
7x2 |
|
| 4 u |
14 u |
9 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 9 is 18.
| |
Men |
Women |
Children |
| Number |
4 u |
14 u |
9 u |
| Value |
2 |
3 |
4 |
| Total value |
8 u |
42 u |
36 u |
Number of chocolates given away to women and children
= 42 u + 36 u
= 78 u
1 u = 546 ÷ 78 = 7
Number of less men than women
= 14 u - 4 u
= 10 u
= 10 x 7
= 70
Answer(s): 70
