There were some kiwis and persimmons in Container W and Container X. In Container W, the ratio of the kiwis to the number of persimmons was 4 : 1. In Container X, the ratio of the number of kiwis to the number of persimmons was 3 : 2. There were 2 times as many fruits in Container W as in Container X. After another 60 persimmons were put into Container X, the ratio of the number of kiwis to the number of persimmons in Container X became 1 : 4. How many fruits were there in Container W?
Container W |
Container X |
2x5 = 10 u |
1x5 = 5 u |
Kiwis |
Persimmons |
Kiwis |
Persimmons |
4x2 |
1x2 |
3 |
2 |
8 u |
2 u |
3 u |
2 u |
The total number of fruits in Container W is repeated. Make the total number of fruits in Container W the same. LCM of 2 and 5 is 10.
The total number of fruits in Container X at first is repeated. Make the total number of fruits in Container X the same. LCM of 1 and 5 is 5.
|
Container W |
Container X |
|
Kiwis |
Persimmons |
Kiwis |
Persimmons |
Before |
8 u |
2 u |
3 u |
2 u |
Change |
|
|
|
+ 60 |
After
|
8 u
|
2 u
|
1x3 = 3 u |
4x3 = 12 u |
Number of kiwis in Container X remains unchanged. Make the number of kiwis in Container X the same. LCM of 3 and 1 is 3.
Number of persimmons put into Container X
= 12 u - 2 u
= 10 u
10 u = 60
1 u = 60 ÷ 10 = 6
Number of fruits in Container W
= 8 u + 2 u
= 10 u
= 10 x 6
= 60
Answer(s): 60