At a gathering,
13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 7. Each boy is given 2 candies and each girl is given 3 candies. Each accompanying adult receives 6 candies. Given that only 496 candies are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 2x9 |
1x9 |
| 2x2 |
7x2 |
|
| 4 u |
14 u |
9 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 9 is 18.
| |
Boys |
Girls |
Adults |
| Number |
4 u |
14 u |
9 u |
| Value |
2 |
3 |
6 |
| Total value |
8 u |
42 u |
54 u |
Number of candies given away to boys and adults
= 8 u + 54 u
= 62 u
1 u = 496 ÷ 62 = 8
Number of children
= 4 u + 14 u
= 18 u
Number of more children than adults
= 18 u - 9 u
= 9 u
= 9 x 8
= 72
Answer(s): 72
