378 people went to a theme park.
27 were adults. Some children joined halfway and the ratio of the number of adults to the number of children became 6 : 19. How many children joined the theme park halfway?
| |
Adults |
Children |
Total |
| Before |
2x3 =
6 u |
5x3 =
15 u |
7x3 =
21 u |
| Change |
|
+ ? |
|
| After |
6 u |
19 u |
|
Fraction of the people that were children at first
= 1 -
27 =
57 Number of adults remains unchanged. Make the number of adults the same. LCM of 2 and 6 is 6.
Total number of people at first = 21 u
21 u = 378
1 u = 378 ÷ 21 = 18
Number of children who joined halfway
= 19 u - 15 u
= 4 u
= 4 x 18
= 72
Answer(s): 72
