At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 2 keychains and each girl is given 4 keychains. Each accompanying adult receives 6 keychains. Given that only 232 keychains are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 3x4 |
2x4 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
| |
Boys |
Girls |
Adults |
| Number |
5 u |
7 u |
8 u |
| Value |
2 |
4 |
6 |
| Total value |
10 u |
28 u |
48 u |
Number of keychains given away to boys and adults
= 10 u + 48 u
= 58 u
1 u = 232 ÷ 58 = 4
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 8 u
= 4 u
= 4 x 4
= 16
Answer(s): 16
