There were some starfruits and persimmons in Container D and Container E. In Container D, the ratio of the starfruits to the number of persimmons was 6 : 1. In Container E, the ratio of the number of starfruits to the number of persimmons was 4 : 3. There were 3 times as many fruits in Container D as in Container E. After another 90 persimmons were put into Container E, the ratio of the number of starfruits to the number of persimmons in Container E became 1 : 3. How many fruits were there in Container D?
Container D |
Container E |
3x7 = 21 u |
1x7 = 7 u |
Starfruits |
Persimmons |
Starfruits |
Persimmons |
6x3 |
1x3 |
4 |
3 |
18 u |
3 u |
4 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 7 is 21.
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 7 is 7.
|
Container D |
Container E |
|
Starfruits |
Persimmons |
Starfruits |
Persimmons |
Before |
18 u |
3 u |
4 u |
3 u |
Change |
|
|
|
+ 90 |
After
|
18 u
|
3 u
|
1x4 = 4 u |
3x4 = 12 u |
Number of starfruits in Container E remains unchanged. Make the number of starfruits in Container E the same. LCM of 4 and 1 is 4.
Number of persimmons put into Container E
= 12 u - 3 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Number of fruits in Container D
= 18 u + 3 u
= 21 u
= 21 x 10
= 210
Answer(s): 210