At a gathering,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 3 candies and each girl is given 6 candies. Each accompanying adult receives 7 candies. Given that only 258 candies are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 3x4 |
1x4 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
| |
Boys |
Girls |
Adults |
| Number |
5 u |
7 u |
4 u |
| Value |
3 |
6 |
7 |
| Total value |
15 u |
42 u |
28 u |
Number of candies given away to boys and adults
= 15 u + 28 u
= 43 u
1 u = 258 ÷ 43 = 6
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 4 u
= 8 u
= 8 x 6
= 48
Answer(s): 48
