At a gathering,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 3 : 5. Each boy is given 2 candies and each girl is given 4 candies. Each accompanying adult receives 6 candies. Given that only 312 candies are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x8 |
2x8 |
3x3 |
5x3 |
|
9 u |
15 u |
16 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 8 is 24.
|
Boys |
Girls |
Adults |
Number |
9 u |
15 u |
16 u |
Value |
2 |
4 |
6 |
Total value |
18 u |
60 u |
96 u |
Number of candies given away to girls and adults
= 60 u + 96 u
= 156 u
1 u = 312 ÷ 156 = 2
Number of less boys than girls
= 15 u - 9 u
= 6 u
= 6 x 2
= 12
Answer(s): 12