At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 2 : 5. Each girl is given 2 magnets and each boy is given 3 magnets. Each accompanying adult receives 6 magnets. Given that only 216 magnets are given away to girls and adults, how many more children are there than adults?
| Girls |
Boys |
Adults |
| 3x7 |
1x7 |
| 2x3 |
5x3 |
|
| 6 u |
15 u |
7 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 7 is 21.
| |
Girls |
Boys |
Adults |
| Number |
6 u |
15 u |
7 u |
| Value |
2 |
3 |
6 |
| Total value |
12 u |
45 u |
42 u |
Number of magnets given away to girls and adults
= 12 u + 42 u
= 54 u
1 u = 216 ÷ 54 = 4
Number of children
= 6 u + 15 u
= 21 u
Number of more children than adults
= 21 u - 7 u
= 14 u
= 14 x 4
= 56
Answer(s): 56
