At a gathering,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 3 : 5. Each girl is given 3 sweets and each boy is given 4 sweets. Each accompanying adult receives 6 sweets. Given that only 540 sweets are given away to boys and adults, how many less girls are there than boys?
| Girls |
Boys |
Adults |
| 3x8 |
1x8 |
| 3x3 |
5x3 |
|
| 9 u |
15 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 8 is 24.
| |
Girls |
Boys |
Adults |
| Number |
9 u |
15 u |
8 u |
| Value |
3 |
4 |
6 |
| Total value |
27 u |
60 u |
48 u |
Number of sweets given away to boys and adults
= 60 u + 48 u
= 108 u
1 u = 540 ÷ 108 = 5
Number of less girls than boys
= 15 u - 9 u
= 6 u
= 6 x 5
= 30
Answer(s): 30
