At a party,
13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 3 : 5. Each boy is given 3 keychains and each girl is given 4 keychains. Each accompanying adult receives 6 keychains. Given that only 99 keychains are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 2x4 |
1x4 |
| 3x1 |
5x1 |
|
| 3 u |
5 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 8 is 8.
| |
Boys |
Girls |
Adults |
| Number |
3 u |
5 u |
4 u |
| Value |
3 |
4 |
6 |
| Total value |
9 u |
20 u |
24 u |
Number of keychains given away to boys and adults
= 9 u + 24 u
= 33 u
1 u = 99 ÷ 33 = 3
Number of children
= 3 u + 5 u
= 8 u
Number of more children than adults
= 8 u - 4 u
= 4 u
= 4 x 3
= 12
Answer(s): 12
