At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 5 : 7. Each girl is given 2 chocolates and each boy is given 4 chocolates. Each accompanying adult receives 7 chocolates. Given that only 224 chocolates are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
3x4 |
1x4 |
5x1 |
7x1 |
|
5 u |
7 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
|
Girls |
Boys |
Adults |
Number |
5 u |
7 u |
4 u |
Value |
2 |
4 |
7 |
Total value |
10 u |
28 u |
28 u |
Number of chocolates given away to boys and adults
= 28 u + 28 u
= 56 u
1 u = 224 ÷ 56 = 4
Number of less girls than boys
= 7 u - 5 u
= 2 u
= 2 x 4
= 8
Answer(s): 8