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 : 3. Each girl is given 2 chocolates and each boy is given 5 chocolates. Each accompanying adult receives 6 chocolates. Given that only 418 chocolates are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
2x5 |
1x5 |
2x2 |
3x2 |
|
4 u |
6 u |
5 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 5 is 10.
|
Girls |
Boys |
Adults |
Number |
4 u |
6 u |
5 u |
Value |
2 |
5 |
6 |
Total value |
8 u |
30 u |
30 u |
Number of chocolates given away to girls and adults
= 8 u + 30 u
= 38 u
1 u = 418 ÷ 38 = 11
Number of children
= 4 u + 6 u
= 10 u
Number of more children than adults
= 10 u - 5 u
= 5 u
= 5 x 11
= 55
Answer(s): 55