There were some chikoos and oranges in Container X and Container Y. In Container X, the ratio of the chikoos to the number of oranges was 7 : 1. In Container Y, the ratio of the number of chikoos to the number of oranges was 5 : 3. There were 2 times as many fruits in Container X as in Container Y. After another 56 oranges were put into Container Y, the ratio of the number of chikoos to the number of oranges in Container Y became 1 : 2. How many fruits were there in Container Y in the end?
Container X |
Container Y |
2x8 = 16 u |
1x8 = 8 u |
Chikoos |
Oranges |
Chikoos |
Oranges |
7x2 |
1x2 |
5 |
3 |
14 u |
2 u |
5 u |
3 u |
The total number of fruits in Container X is repeated. Make the total number of fruits in Container X the same. LCM of 2 and 8 is 16.
The total number of fruits in Container Y at first is repeated. Make the total number of fruits in Container Y the same. LCM of 1 and 8 is 8.
|
Container X |
Container Y |
|
Chikoos |
Oranges |
Chikoos |
Oranges |
Before |
14 u |
2 u |
5 u |
3 u |
Change |
|
|
|
+ 56 |
After
|
14 u
|
2 u
|
1x5 = 5 u |
2x5 = 10 u |
Number of chikoos in Container Y remains unchanged. Make the number of chikoos in Container Y the same. LCM of 5 and 1 is 5.
Number of oranges put into Container Y
= 10 u - 3 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of fruits in Container Y in the end
= 5 u + 10 u
= 15 u
= 15 x 8
= 120
Answer(s): 120