At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 7. Each boy is given 3 magnets and each girl is given 5 magnets. Each accompanying adult receives 8 magnets. Given that only 332 magnets are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
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.
|
Boys |
Girls |
Adults |
Number |
2 u |
7 u |
6 u |
Value |
3 |
5 |
8 |
Total value |
6 u |
35 u |
48 u |
Number of magnets given away to girls and adults
= 35 u + 48 u
= 83 u
1 u = 332 ÷ 83 = 4
Number of less boys than girls
= 7 u - 2 u
= 5 u
= 5 x 4
= 20
Answer(s): 20