At a gathering,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 4 : 7. Each boy is given 2 sweets and each girl is given 5 sweets. Each accompanying adult receives 7 sweets. Given that only 518 sweets are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x11 |
2x11 |
4x3 |
7x3 |
|
12 u |
21 u |
22 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 11 is 33.
|
Boys |
Girls |
Adults |
Number |
12 u |
21 u |
22 u |
Value |
2 |
5 |
7 |
Total value |
24 u |
105 u |
154 u |
Number of sweets given away to girls and adults
= 105 u + 154 u
= 259 u
1 u = 518 ÷ 259 = 2
Number of less boys than girls
= 21 u - 12 u
= 9 u
= 9 x 2
= 18
Answer(s): 18