At a gathering,
13 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 5. Each girl is given 3 candies and each boy is given 4 candies. Each accompanying adult receives 6 candies. Given that only 410 candies are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
2x7 |
1x7 |
2x2 |
5x2 |
|
4 u |
10 u |
7 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 7 is 14.
|
Girls |
Boys |
Adults |
Number |
4 u |
10 u |
7 u |
Value |
3 |
4 |
6 |
Total value |
12 u |
40 u |
42 u |
Number of candies given away to boys and adults
= 40 u + 42 u
= 82 u
1 u = 410 ÷ 82 = 5
Number of less girls than boys
= 10 u - 4 u
= 6 u
= 6 x 5
= 30
Answer(s): 30