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 4 magnets and each girl is given 7 magnets. Each accompanying adult receives 10 magnets. Given that only 436 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 |
4 |
7 |
10 |
| Total value |
8 u |
49 u |
60 u |
Number of magnets given away to girls and adults
= 49 u + 60 u
= 109 u
1 u = 436 ÷ 109 = 4
Number of less boys than girls
= 7 u - 2 u
= 5 u
= 5 x 4
= 20
Answer(s): 20
