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 : 5. Each boy is given 4 magnets and each girl is given 7 magnets. Each accompanying adult receives 8 magnets. Given that only 240 magnets are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
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.
|
Boys |
Girls |
Adults |
Number |
6 u |
15 u |
7 u |
Value |
4 |
7 |
8 |
Total value |
24 u |
105 u |
56 u |
Number of magnets given away to boys and adults
= 24 u + 56 u
= 80 u
1 u = 240 ÷ 80 = 3
Number of children
= 6 u + 15 u
= 21 u
Number of more children than adults
= 21 u - 7 u
= 14 u
= 14 x 3
= 42
Answer(s): 42