255 people went to a theme park.
35 were adults. Some children joined halfway and the ratio of the number of adults to the number of children became 9 : 8. How many children joined the theme park halfway?
|
Adults |
Children |
Total |
Before |
3x3 = 9 u |
2x3 = 6 u |
5x3 = 15 u |
Change |
|
+ ? |
|
After |
9 u |
8 u |
|
Fraction of the people that were children at first
= 1 -
35 =
25 Number of adults remains unchanged. Make the number of adults the same. LCM of 3 and 9 is 9.
Total number of people at first = 15 u
15 u = 255
1 u = 255 ÷ 15 = 17
Number of children who joined halfway
= 8 u - 6 u
= 2 u
= 2 x 17
= 34
Answer(s): 34