There were some chikoos and mangoes in Container B and Container C. In Container B, the ratio of the chikoos to the number of mangoes was 4 : 1. In Container C, the ratio of the number of chikoos to the number of mangoes was 3 : 2. There were 2 times as many fruits in Container B as in Container C. After another 16 mangoes were put into Container C, the ratio of the number of chikoos to the number of mangoes in Container C became 1 : 2. How many fruits were there in Container C in the end?
Container B |
Container C |
2x5 = 10 u |
1x5 = 5 u |
Chikoos |
Mangoes |
Chikoos |
Mangoes |
4x2 |
1x2 |
3 |
2 |
8 u |
2 u |
3 u |
2 u |
The total number of fruits in Container B is repeated. Make the total number of fruits in Container B the same. LCM of 2 and 5 is 10.
The total number of fruits in Container C at first is repeated. Make the total number of fruits in Container C the same. LCM of 1 and 5 is 5.
|
Container B |
Container C |
|
Chikoos |
Mangoes |
Chikoos |
Mangoes |
Before |
8 u |
2 u |
3 u |
2 u |
Change |
|
|
|
+ 16 |
After
|
8 u
|
2 u
|
1x3 = 3 u |
2x3 = 6 u |
Number of chikoos in Container C remains unchanged. Make the number of chikoos in Container C the same. LCM of 3 and 1 is 3.
Number of mangoes put into Container C
= 6 u - 2 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Number of fruits in Container C in the end
= 3 u + 6 u
= 9 u
= 9 x 4
= 36
Answer(s): 36