At a party,
13 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 3 keychains and each girl is given 5 keychains. Each accompanying adult receives 7 keychains. Given that only 570 keychains are given away to boys and adults, how many more children are there than adults?
| Boys |
Girls |
Adults |
| 2x6 |
1x6 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 12 is 12.
| |
Boys |
Girls |
Adults |
| Number |
5 u |
7 u |
6 u |
| Value |
3 |
5 |
7 |
| Total value |
15 u |
35 u |
42 u |
Number of keychains given away to boys and adults
= 15 u + 42 u
= 57 u
1 u = 570 ÷ 57 = 10
Number of children
= 5 u + 7 u
= 12 u
Number of more children than adults
= 12 u - 6 u
= 6 u
= 6 x 10
= 60
Answer(s): 60
