At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 4 chocolates and each girl is given 6 chocolates. Each accompanying adult receives 8 chocolates. Given that only 420 chocolates are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x4 |
2x4 |
5x1 |
7x1 |
|
5 u |
7 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
|
Boys |
Girls |
Adults |
Number |
5 u |
7 u |
8 u |
Value |
4 |
6 |
8 |
Total value |
20 u |
42 u |
64 u |
Number of chocolates given away to boys and adults
= 20 u + 64 u
= 84 u
1 u = 420 ÷ 84 = 5
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 8 u
= 4 u
= 4 x 5
= 20
Answer(s): 20