At a gathering,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 5. Each girl is given 3 candies and each boy is given 4 candies. Each accompanying adult receives 6 candies. Given that only 432 candies are given away to girls and adults, how many more children are there than adults?
| Girls |
Boys |
Adults |
| 2x7 |
1x7 |
| 2x2 |
5x2 |
|
| 4 u |
10 u |
7 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 7 is 14.
| |
Girls |
Boys |
Adults |
| Number |
4 u |
10 u |
7 u |
| Value |
3 |
4 |
6 |
| Total value |
12 u |
40 u |
42 u |
Number of candies given away to girls and adults
= 12 u + 42 u
= 54 u
1 u = 432 ÷ 54 = 8
Number of children
= 4 u + 10 u
= 14 u
Number of more children than adults
= 14 u - 7 u
= 7 u
= 7 x 8
= 56
Answer(s): 56
