At a party,
14 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 3 magnets and each girl is given 6 magnets. Each accompanying adult receives 8 magnets. Given that only 90 magnets are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x3 |
1x3 |
2x1 |
7x1 |
|
2 u |
7 u |
3 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 |
3 u |
Value |
3 |
6 |
8 |
Total value |
6 u |
42 u |
24 u |
Number of magnets given away to boys and adults
= 6 u + 24 u
= 30 u
1 u = 90 ÷ 30 = 3
Number of children
= 2 u + 7 u
= 9 u
Number of more children than adults
= 9 u - 3 u
= 6 u
= 6 x 3
= 18
Answer(s): 18