At a gathering,
13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 3 : 7. Each boy is given 3 candies and each girl is given 5 candies. Each accompanying adult receives 6 candies. Given that only 455 candies are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
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.
|
Boys |
Girls |
Adults |
Number |
3 u |
7 u |
5 u |
Value |
3 |
5 |
6 |
Total value |
9 u |
35 u |
30 u |
Number of candies given away to girls and adults
= 35 u + 30 u
= 65 u
1 u = 455 ÷ 65 = 7
Number of less boys than girls
= 7 u - 3 u
= 4 u
= 4 x 7
= 28
Answer(s): 28