At a party,
13 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 6 magnets. Given that only 230 magnets are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 2x6 |
1x6 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 12 is 12.
| |
Boys |
Girls |
Adults |
| Number |
5 u |
7 u |
6 u |
| Value |
2 |
4 |
6 |
| Total value |
10 u |
28 u |
36 u |
Number of magnets given away to boys and adults
= 10 u + 36 u
= 46 u
1 u = 230 ÷ 46 = 5
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 6 u
= 6 u
= 6 x 5
= 30
Answer(s): 30
