There were some starfruits and chikoos in Container D and Container E. In Container D, the ratio of the starfruits to the number of chikoos was 5 : 1. In Container E, the ratio of the number of starfruits to the number of chikoos was 3 : 1. There were 3 times as many fruits in Container D as in Container E. After another 50 chikoos were put into Container E, the ratio of the number of starfruits to the number of chikoos in Container E became 1 : 2. How many fruits were there in Container E in the end?
Container D |
Container E |
3x4 = 12 u |
1x4 = 4 u |
Starfruits |
Chikoos |
Starfruits |
Chikoos |
5x2 |
1x2 |
3 |
1 |
10 u |
2 u |
3 u |
1 u |
The total number of fruits in Container D is repeated. Make the total number of fruits in Container D the same. LCM of 3 and 6 is 12.
The total number of fruits in Container E at first is repeated. Make the total number of fruits in Container E the same. LCM of 1 and 4 is 4.
|
Container D |
Container E |
|
Starfruits |
Chikoos |
Starfruits |
Chikoos |
Before |
10 u |
2 u |
3 u |
1 u |
Change |
|
|
|
+ 50 |
After
|
10 u
|
2 u
|
1x3 = 3 u |
2x3 = 6 u |
Number of starfruits in Container E remains unchanged. Make the number of starfruits in Container E the same. LCM of 3 and 1 is 3.
Number of chikoos put into Container E
= 6 u - 1 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of fruits in Container E in the end
= 3 u + 6 u
= 9 u
= 9 x 10
= 90
Answer(s): 90