At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 7. Each boy is given 3 chocolates and each girl is given 4 chocolates. Each accompanying adult receives 5 chocolates. Given that only 180 chocolates are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x3 |
2x3 |
2x1 |
7x1 |
|
2 u |
7 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 |
2 u |
7 u |
6 u |
Value |
3 |
4 |
5 |
Total value |
6 u |
28 u |
30 u |
Number of chocolates given away to boys and adults
= 6 u + 30 u
= 36 u
1 u = 180 ÷ 36 = 5
Number of children
= 2 u + 7 u
= 9 u
Number of more children than adults
= 9 u - 6 u
= 3 u
= 3 x 5
= 15
Answer(s): 15