There were some chikoos and passion fruits in Container A and Container B. In Container A, the ratio of the chikoos to the number of passion fruits was 5 : 1. In Container B, the ratio of the number of chikoos to the number of passion fruits was 5 : 3. There were 3 times as many fruits in Container A as in Container B. After another 60 passion fruits were put into Container B, the ratio of the number of chikoos to the number of passion fruits in Container B became 1 : 3. How many fruits were there in Container B in the end?
Container A |
Container B |
3x8 = 24 u |
1x8 = 8 u |
Chikoos |
Passion fruits |
Chikoos |
Passion fruits |
5x4 |
1x4 |
5 |
3 |
20 u |
4 u |
5 u |
3 u |
The total number of fruits in Container A is repeated. Make the total number of fruits in Container A the same. LCM of 3 and 6 is 24.
The total number of fruits in Container B at first is repeated. Make the total number of fruits in Container B the same. LCM of 1 and 8 is 8.
|
Container A |
Container B |
|
Chikoos |
Passion fruits |
Chikoos |
Passion fruits |
Before |
20 u |
4 u |
5 u |
3 u |
Change |
|
|
|
+ 60 |
After
|
20 u
|
4 u
|
1x5 = 5 u |
3x5 = 15 u |
Number of chikoos in Container B remains unchanged. Make the number of chikoos in Container B the same. LCM of 5 and 1 is 5.
Number of passion fruits put into Container B
= 15 u - 3 u
= 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Number of fruits in Container B in the end
= 5 u + 15 u
= 20 u
= 20 x 5
= 100
Answer(s): 100