At a gathering,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 3. Each boy is given 3 sweets and each girl is given 4 sweets. Each accompanying adult receives 5 sweets. Given that only 488 sweets are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x5 |
1x5 |
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 5 is 15.
|
Boys |
Girls |
Adults |
Number |
6 u |
9 u |
5 u |
Value |
3 |
4 |
5 |
Total value |
18 u |
36 u |
25 u |
Number of sweets given away to girls and adults
= 36 u + 25 u
= 61 u
1 u = 488 ÷ 61 = 8
Number of less boys than girls
= 9 u - 6 u
= 3 u
= 3 x 8
= 24
Answer(s): 24