At a party,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 7. Each girl is given 2 chocolates and each boy is given 5 chocolates. Each accompanying adult receives 6 chocolates. Given that only 124 chocolates are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
2x9 |
1x9 |
2x2 |
7x2 |
|
4 u |
14 u |
9 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 9 is 18.
|
Girls |
Boys |
Adults |
Number |
4 u |
14 u |
9 u |
Value |
2 |
5 |
6 |
Total value |
8 u |
70 u |
54 u |
Number of chocolates given away to girls and adults
= 8 u + 54 u
= 62 u
1 u = 124 ÷ 62 = 2
Number of children
= 4 u + 14 u
= 18 u
Number of more children than adults
= 18 u - 9 u
= 9 u
= 9 x 2
= 18
Answer(s): 18