At a gathering,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 3. Each girl is given 4 candies and each boy is given 5 candies. Each accompanying adult receives 8 candies. Given that only 510 candies are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
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.
|
Girls |
Boys |
Adults |
Number |
6 u |
9 u |
5 u |
Value |
4 |
5 |
8 |
Total value |
24 u |
45 u |
40 u |
Number of candies given away to boys and adults
= 45 u + 40 u
= 85 u
1 u = 510 ÷ 85 = 6
Number of less girls than boys
= 9 u - 6 u
= 3 u
= 3 x 6
= 18
Answer(s): 18