At a gathering,
14 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 candies and each boy is given 5 candies. Each accompanying adult receives 6 candies. Given that only 177 candies are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
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.
|
Girls |
Boys |
Adults |
Number |
5 u |
7 u |
4 u |
Value |
3 |
5 |
6 |
Total value |
15 u |
35 u |
24 u |
Number of candies given away to boys and adults
= 35 u + 24 u
= 59 u
1 u = 177 ÷ 59 = 3
Number of less girls than boys
= 7 u - 5 u
= 2 u
= 2 x 3
= 6
Answer(s): 6