At a party,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 3 : 7. Each girl is given 3 chocolates and each boy is given 6 chocolates. Each accompanying adult receives 8 chocolates. Given that only 574 chocolates are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
2x5 |
1x5 |
3x1 |
7x1 |
|
3 u |
7 u |
5 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 10 is 10.
|
Girls |
Boys |
Adults |
Number |
3 u |
7 u |
5 u |
Value |
3 |
6 |
8 |
Total value |
9 u |
42 u |
40 u |
Number of chocolates given away to boys and adults
= 42 u + 40 u
= 82 u
1 u = 574 ÷ 82 = 7
Number of less girls than boys
= 7 u - 3 u
= 4 u
= 4 x 7
= 28
Answer(s): 28