At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 4 : 7. Each girl is given 3 magnets and each boy is given 4 magnets. Each accompanying adult receives 7 magnets. Given that only 339 magnets are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
Adults |
3x11 |
1x11 |
4x3 |
7x3 |
|
12 u |
21 u |
11 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 11 is 33.
|
Girls |
Boys |
Adults |
Number |
12 u |
21 u |
11 u |
Value |
3 |
4 |
7 |
Total value |
36 u |
84 u |
77 u |
Number of magnets given away to girls and adults
= 36 u + 77 u
= 113 u
1 u = 339 ÷ 113 = 3
Number of children
= 12 u + 21 u
= 33 u
Number of more children than adults
= 33 u - 11 u
= 22 u
= 22 x 3
= 66
Answer(s): 66