170 people went to a tourist attraction.
45 were adults. Some children joined halfway and the ratio of the number of adults to the number of children became 8 : 5. How many children joined the tourist attraction halfway?
| |
Adults |
Children |
Total |
| Before |
4x2 =
8 u |
1x2 =
2 u |
5x2 =
10 u |
| Change |
|
+ ? |
|
| After |
8 u |
5 u |
|
Fraction of the people that were children at first
= 1 -
45 =
15 Number of adults remains unchanged. Make the number of adults the same. LCM of 4 and 8 is 8.
Total number of people at first = 10 u
10 u = 170
1 u = 170 ÷ 10 = 17
Number of children who joined halfway
= 5 u - 2 u
= 3 u
= 3 x 17
= 51
Answer(s): 51
