At a gathering,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 5 : 7. Each girl is given 3 candies and each boy is given 4 candies. Each accompanying adult receives 5 candies. Given that only 405 candies are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
2x6 |
1x6 |
5x1 |
7x1 |
|
5 u |
7 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 12 is 12.
|
Girls |
Boys |
Adults |
Number |
5 u |
7 u |
6 u |
Value |
3 |
4 |
5 |
Total value |
15 u |
28 u |
30 u |
Number of candies given away to girls and adults
= 15 u + 30 u
= 45 u
1 u = 405 ÷ 45 = 9
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 6 u
= 6 u
= 6 x 9
= 54
Answer(s): 54