At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 3. Each boy is given 2 keychains and each girl is given 5 keychains. Each accompanying adult receives 8 keychains. Given that only 460 keychains are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 3x5 |
2x5 |
| 2x3 |
3x3 |
|
| 6 u |
9 u |
10 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 5 is 15.
| |
Boys |
Girls |
Adults |
| Number |
6 u |
9 u |
10 u |
| Value |
2 |
5 |
8 |
| Total value |
12 u |
45 u |
80 u |
Number of keychains given away to boys and adults
= 12 u + 80 u
= 92 u
1 u = 460 ÷ 92 = 5
Number of children
= 6 u + 9 u
= 15 u
Number of more children than adults
= 15 u - 10 u
= 5 u
= 5 x 5
= 25
Answer(s): 25
