At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 5 : 7. Each girl is given 3 magnets and each boy is given 4 magnets. Each accompanying adult receives 7 magnets. Given that only 344 magnets are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
3x4 |
1x4 |
5x1 |
7x1 |
|
5 u |
7 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
|
Girls |
Boys |
Adults |
Number |
5 u |
7 u |
4 u |
Value |
3 |
4 |
7 |
Total value |
15 u |
28 u |
28 u |
Number of magnets given away to girls and adults
= 15 u + 28 u
= 43 u
1 u = 344 ÷ 43 = 8
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 4 u
= 8 u
= 8 x 8
= 64
Answer(s): 64