There were some starfruits and chikoos in Container Q and Container R. In Container Q, the ratio of the starfruits to the number of chikoos was 6 : 1. In Container R, the ratio of the number of starfruits to the number of chikoos was 4 : 3. There were 3 times as many fruits in Container Q as in Container R. After another 20 chikoos were put into Container R, the ratio of the number of starfruits to the number of chikoos in Container R became 1 : 2. How many fruits were there in Container R in the end?
Container Q |
Container R |
3x7 = 21 u |
1x7 = 7 u |
Starfruits |
Chikoos |
Starfruits |
Chikoos |
6x3 |
1x3 |
4 |
3 |
18 u |
3 u |
4 u |
3 u |
The total number of fruits in Container Q is repeated. Make the total number of fruits in Container Q the same. LCM of 3 and 7 is 21.
The total number of fruits in Container R at first is repeated. Make the total number of fruits in Container R the same. LCM of 1 and 7 is 7.
|
Container Q |
Container R |
|
Starfruits |
Chikoos |
Starfruits |
Chikoos |
Before |
18 u |
3 u |
4 u |
3 u |
Change |
|
|
|
+ 20 |
After
|
18 u
|
3 u
|
1x4 = 4 u |
2x4 = 8 u |
Number of starfruits in Container R remains unchanged. Make the number of starfruits in Container R the same. LCM of 4 and 1 is 4.
Number of chikoos put into Container R
= 8 u - 3 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of fruits in Container R in the end
= 4 u + 8 u
= 12 u
= 12 x 4
= 48
Answer(s): 48