At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 4 : 5. Each boy is given 4 chocolates and each girl is given 6 chocolates. Each accompanying adult receives 9 chocolates. Given that only 490 chocolates are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x3 |
2x3 |
4x1 |
5x1 |
|
4 u |
5 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 9 is 9.
|
Boys |
Girls |
Adults |
Number |
4 u |
5 u |
6 u |
Value |
4 |
6 |
9 |
Total value |
16 u |
30 u |
54 u |
Number of chocolates given away to boys and adults
= 16 u + 54 u
= 70 u
1 u = 490 ÷ 70 = 7
Number of children
= 4 u + 5 u
= 9 u
Number of more children than adults
= 9 u - 6 u
= 3 u
= 3 x 7
= 21
Answer(s): 21