At a gathering,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 3 sweets and each girl is given 5 sweets. Each accompanying adult receives 6 sweets. Given that only 531 sweets are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x4 |
1x4 |
5x1 |
7x1 |
|
5 u |
7 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
|
Boys |
Girls |
Adults |
Number |
5 u |
7 u |
4 u |
Value |
3 |
5 |
6 |
Total value |
15 u |
35 u |
24 u |
Number of sweets given away to girls and adults
= 35 u + 24 u
= 59 u
1 u = 531 ÷ 59 = 9
Number of less boys than girls
= 7 u - 5 u
= 2 u
= 2 x 9
= 18
Answer(s): 18