At a party,
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 2 keychains and each boy is given 3 keychains. Each accompanying adult receives 4 keychains. Given that only 385 keychains 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 |
2 |
3 |
4 |
Total value |
18 u |
45 u |
32 u |
Number of keychains given away to boys and adults
= 45 u + 32 u
= 77 u
1 u = 385 ÷ 77 = 5
Number of less girls than boys
= 15 u - 9 u
= 6 u
= 6 x 5
= 30
Answer(s): 30