At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 3 : 5. Each girl is given 4 chocolates and each boy is given 5 chocolates. Each accompanying adult receives 7 chocolates. Given that only 393 chocolates are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
3x8 |
1x8 |
3x3 |
5x3 |
|
9 u |
15 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 8 is 24.
|
Girls |
Boys |
Adults |
Number |
9 u |
15 u |
8 u |
Value |
4 |
5 |
7 |
Total value |
36 u |
75 u |
56 u |
Number of chocolates given away to boys and adults
= 75 u + 56 u
= 131 u
1 u = 393 ÷ 131 = 3
Number of less girls than boys
= 15 u - 9 u
= 6 u
= 6 x 3
= 18
Answer(s): 18