Shiyun had some kiwis and persimmons in 2 cartons. In Carton M, the number of kiwis to the number of persimmons was in the ratio of 5 : 9. In Carton N, there were twice as many kiwis as persimmons. After Shiyun transferred
13 of the persimmons from Carton M to Carton N, the number of fruits left in Carton M was 308 and the ratio of the number of kiwis to the number of persimmons in Carton B became 5 : 6. How many fruits were in Carton N in the end?
|
Carton M |
Carton N |
|
Kiwis |
Persimmons |
Kiwis |
Persimmons |
Before |
5 u |
9 u |
2x5 = 10 p |
1x5 = 5 p |
Change |
|
- 3 u |
|
+ 3 u (+ 7 p) |
After |
5 u |
6 u |
5x2 = 10 p |
6x2 = 12 p |
Number of persimmons that Shiyun transferred from Carton M to Carton N
=
13 x 9 u
= 3 u
Total number of fruits in Carton M in the end
= 5 u + 6 u
= 11 u
11 u = 308
1 u = 308 ÷ 11 = 28
The number of kiwis in Carton N is the unchanged quantity.
LCM of 2 and 5 is 10.
Number of persimmons that Shiyun transferred from Carton M to Carton N
= 3 u
= 3 x 28
= 84
Increase in the number of persimmons that due to the transfer from Carton M to Carton N
= 12 p - 5 p
= 7 p
7 p = 3 u
7 p = 84
1 p = 84 ÷ 7 = 12
Number of fruits in Carton N in the end
= 10 p + 12 p
= 22 p
= 22 x 12
= 264
Answer(s): 264