At a gathering,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 3 : 5. Each girl is given 3 sweets and each boy is given 5 sweets. Each accompanying adult receives 6 sweets. Given that only 396 sweets are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
2x4 |
1x4 |
3x1 |
5x1 |
|
3 u |
5 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 8 is 8.
|
Girls |
Boys |
Adults |
Number |
3 u |
5 u |
4 u |
Value |
3 |
5 |
6 |
Total value |
9 u |
25 u |
24 u |
Number of sweets given away to girls and adults
= 9 u + 24 u
= 33 u
1 u = 396 ÷ 33 = 12
Number of children
= 3 u + 5 u
= 8 u
Number of more children than adults
= 8 u - 4 u
= 4 u
= 4 x 12
= 48
Answer(s): 48