At a party,
14 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 2 chocolates and each boy is given 3 chocolates. Each accompanying adult receives 4 chocolates. Given that only 272 chocolates are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
3x11 |
1x11 |
4x3 |
7x3 |
|
12 u |
21 u |
11 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 11 is 33.
|
Girls |
Boys |
Adults |
Number |
12 u |
21 u |
11 u |
Value |
2 |
3 |
4 |
Total value |
24 u |
63 u |
44 u |
Number of chocolates given away to girls and adults
= 24 u + 44 u
= 68 u
1 u = 272 ÷ 68 = 4
Number of children
= 12 u + 21 u
= 33 u
Number of more children than adults
= 33 u - 11 u
= 22 u
= 22 x 4
= 88
Answer(s): 88