At a party,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 2 magnets and each girl is given 4 magnets. Each accompanying adult receives 7 magnets. Given that only 280 magnets are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
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.
|
Boys |
Girls |
Adults |
Number |
5 u |
7 u |
4 u |
Value |
2 |
4 |
7 |
Total value |
10 u |
28 u |
28 u |
Number of magnets given away to girls and adults
= 28 u + 28 u
= 56 u
1 u = 280 ÷ 56 = 5
Number of less boys than girls
= 7 u - 5 u
= 2 u
= 2 x 5
= 10
Answer(s): 10