At a gathering,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 3. Each girl is given 2 candies and each boy is given 4 candies. Each accompanying adult receives 6 candies. Given that only 420 candies are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
3x5 |
1x5 |
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 5 is 15.
|
Girls |
Boys |
Adults |
Number |
6 u |
9 u |
5 u |
Value |
2 |
4 |
6 |
Total value |
12 u |
36 u |
30 u |
Number of candies given away to girls and adults
= 12 u + 30 u
= 42 u
1 u = 420 ÷ 42 = 10
Number of children
= 6 u + 9 u
= 15 u
Number of more children than adults
= 15 u - 5 u
= 10 u
= 10 x 10
= 100
Answer(s): 100