At a party,
25 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 7. Each girl is given 4 keychains and each boy is given 5 keychains. Each accompanying adult receives 7 keychains. Given that only 462 keychains are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
3x3 |
2x3 |
2x1 |
7x1 |
|
2 u |
7 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 9 is 9.
|
Girls |
Boys |
Adults |
Number |
2 u |
7 u |
6 u |
Value |
4 |
5 |
7 |
Total value |
8 u |
35 u |
42 u |
Number of keychains given away to boys and adults
= 35 u + 42 u
= 77 u
1 u = 462 ÷ 77 = 6
Number of less girls than boys
= 7 u - 2 u
= 5 u
= 5 x 6
= 30
Answer(s): 30