At a party,
25 of the people are children. The remaining group of people is divided into men and women in the ratio of 4 : 5. Each man is given 2 chocolates and each woman is given 5 chocolates. Each accompanying child receives 7 chocolates. Given that only 300 chocolates are given away to men and children, how many more adults are there than children?
| Men |
Women |
Children |
| 3x3 |
2x3 |
| 4x1 |
5x1 |
|
| 4 u |
5 u |
6 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 9 is 9.
| |
Men |
Women |
Children |
| Number |
4 u |
5 u |
6 u |
| Value |
2 |
5 |
7 |
| Total value |
8 u |
25 u |
42 u |
Number of chocolates given away to men and children
= 8 u + 42 u
= 50 u
1 u = 300 ÷ 50 = 6
Number of adults
= 4 u + 5 u
= 9 u
Number of more adults than children
= 9 u - 6 u
= 3 u
= 3 x 6
= 18
Answer(s): 18
