There were some starfruits and passion fruits in Container D and Container E. In Container D, the ratio of the starfruits to the number of passion fruits was 4 : 1. In Container E, the ratio of the number of starfruits to the number of passion fruits was 3 : 2. There were 2 times as many fruits in Container D as in Container E. After another 40 passion fruits were put into Container E, the ratio of the number of starfruits to the number of passion fruits in Container E became 1 : 2. How many fruits were there in Container D?
Container D |
Container E |
2x5 = 10 u |
1x5 = 5 u |
Starfruits |
Passion fruits |
Starfruits |
Passion fruits |
4x2 |
1x2 |
3 |
2 |
8 u |
2 u |
3 u |
2 u |
The total number of fruits in Container D is repeated. Make the total number of fruits in Container D the same. LCM of 2 and 5 is 10.
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 5 is 5.
|
Container D |
Container E |
|
Starfruits |
Passion fruits |
Starfruits |
Passion fruits |
Before |
8 u |
2 u |
3 u |
2 u |
Change |
|
|
|
+ 40 |
After
|
8 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 passion fruits put into Container E
= 6 u - 2 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Number of fruits in Container D
= 8 u + 2 u
= 10 u
= 10 x 10
= 100
Answer(s): 100