At a gathering,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 4 : 5. Each boy is given 4 candies and each girl is given 5 candies. Each accompanying adult receives 7 candies. Given that only 222 candies are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x3 |
1x3 |
4x1 |
5x1 |
|
4 u |
5 u |
3 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 9 is 9.
|
Boys |
Girls |
Adults |
Number |
4 u |
5 u |
3 u |
Value |
4 |
5 |
7 |
Total value |
16 u |
25 u |
21 u |
Number of candies given away to boys and adults
= 16 u + 21 u
= 37 u
1 u = 222 ÷ 37 = 6
Number of children
= 4 u + 5 u
= 9 u
Number of more children than adults
= 9 u - 3 u
= 6 u
= 6 x 6
= 36
Answer(s): 36