At a gathering,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 5 : 7. Each girl is given 3 sweets and each boy is given 5 sweets. Each accompanying adult receives 6 sweets. Given that only 284 sweets are given away to boys and adults, how many less girls are there than boys?
| Girls |
Boys |
Adults |
| 2x6 |
1x6 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 12 is 12.
| |
Girls |
Boys |
Adults |
| Number |
5 u |
7 u |
6 u |
| Value |
3 |
5 |
6 |
| Total value |
15 u |
35 u |
36 u |
Number of sweets given away to boys and adults
= 35 u + 36 u
= 71 u
1 u = 284 ÷ 71 = 4
Number of less girls than boys
= 7 u - 5 u
= 2 u
= 2 x 4
= 8
Answer(s): 8
