There were some apples and chikoos in Container D and Container E. In Container D, the ratio of the apples to the number of chikoos was 5 : 1. In Container E, the ratio of the number of apples to the number of chikoos was 5 : 3. There were 3 times as many fruits in Container D as in Container E. After another 170 chikoos were put into Container E, the ratio of the number of apples to the number of chikoos in Container E became 1 : 4. How many fruits were there in Container D?
Container D |
Container E |
3x8 = 24 u |
1x8 = 8 u |
Apples |
Chikoos |
Apples |
Chikoos |
5x4 |
1x4 |
5 |
3 |
20 u |
4 u |
5 u |
3 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 24.
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 8 is 8.
|
Container D |
Container E |
|
Apples |
Chikoos |
Apples |
Chikoos |
Before |
20 u |
4 u |
5 u |
3 u |
Change |
|
|
|
+ 170 |
After
|
20 u
|
4 u
|
1x5 = 5 u |
4x5 = 20 u |
Number of apples in Container E remains unchanged. Make the number of apples in Container E the same. LCM of 5 and 1 is 5.
Number of chikoos put into Container E
= 20 u - 3 u
= 17 u
17 u = 170
1 u = 170 ÷ 17 = 10
Number of fruits in Container D
= 20 u + 4 u
= 24 u
= 24 x 10
= 240
Answer(s): 240