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 3 magnets and each girl is given 4 magnets. Each accompanying adult receives 6 magnets. Given that only 522 magnets are given away to boys and adults, how many more children are there than adults?
| 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 |
3 |
4 |
6 |
| Total value |
27 u |
84 u |
60 u |
Number of magnets given away to boys and adults
= 27 u + 60 u
= 87 u
1 u = 522 ÷ 87 = 6
Number of children
= 9 u + 21 u
= 30 u
Number of more children than adults
= 30 u - 10 u
= 20 u
= 20 x 6
= 120
Answer(s): 120
