At a party,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 4 : 7. Each girl is given 3 chocolates and each boy is given 5 chocolates. Each accompanying adult receives 8 chocolates. Given that only 448 chocolates are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
2x11 |
1x11 |
4x2 |
7x2 |
|
8 u |
14 u |
11 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 11 is 22.
|
Girls |
Boys |
Adults |
Number |
8 u |
14 u |
11 u |
Value |
3 |
5 |
8 |
Total value |
24 u |
70 u |
88 u |
Number of chocolates given away to girls and adults
= 24 u + 88 u
= 112 u
1 u = 448 ÷ 112 = 4
Number of children
= 8 u + 14 u
= 22 u
Number of more children than adults
= 22 u - 11 u
= 11 u
= 11 x 4
= 44
Answer(s): 44