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 : 7. Each girl is given 4 keychains and each boy is given 6 keychains. Each accompanying adult receives 8 keychains. Given that only 160 keychains are given away to girls and adults, how many more children are there than adults?
Girls |
Boys |
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.
|
Girls |
Boys |
Adults |
Number |
2 u |
7 u |
3 u |
Value |
4 |
6 |
8 |
Total value |
8 u |
42 u |
24 u |
Number of keychains given away to girls and adults
= 8 u + 24 u
= 32 u
1 u = 160 ÷ 32 = 5
Number of children
= 2 u + 7 u
= 9 u
Number of more children than adults
= 9 u - 3 u
= 6 u
= 6 x 5
= 30
Answer(s): 30