At a party,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 3 : 7. Each boy is given 2 magnets and each girl is given 5 magnets. Each accompanying adult receives 7 magnets. Given that only 350 magnets are given away to girls and adults, how many less boys are there than girls?
| Boys |
Girls |
Adults |
| 3x10 |
1x10 |
| 3x3 |
7x3 |
|
| 9 u |
21 u |
10 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 10 is 30.
| |
Boys |
Girls |
Adults |
| Number |
9 u |
21 u |
10 u |
| Value |
2 |
5 |
7 |
| Total value |
18 u |
105 u |
70 u |
Number of magnets given away to girls and adults
= 105 u + 70 u
= 175 u
1 u = 350 ÷ 175 = 2
Number of less boys than girls
= 21 u - 9 u
= 12 u
= 12 x 2
= 24
Answer(s): 24
