At a party,
14 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 4 chocolates and each boy is given 6 chocolates. Each accompanying adult receives 7 chocolates. Given that only 368 chocolates are given away to girls and adults, how many more children are there than adults?
| Girls |
Boys |
Adults |
| 3x8 |
1x8 |
| 3x3 |
5x3 |
|
| 9 u |
15 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 8 is 24.
| |
Girls |
Boys |
Adults |
| Number |
9 u |
15 u |
8 u |
| Value |
4 |
6 |
7 |
| Total value |
36 u |
90 u |
56 u |
Number of chocolates given away to girls and adults
= 36 u + 56 u
= 92 u
1 u = 368 ÷ 92 = 4
Number of children
= 9 u + 15 u
= 24 u
Number of more children than adults
= 24 u - 8 u
= 16 u
= 16 x 4
= 64
Answer(s): 64
