Nora had some persimmons and oranges in 2 cartons. In Carton D, the number of persimmons to the number of oranges was in the ratio of 3 : 8. In Carton E, there were twice as many persimmons as oranges. After Nora transferred ³₄ of the oranges from Carton D to Carton E, the number of fruits left in Carton D was 55 and the ratio of the number of persimmons to the number of oranges in Carton B became 7 : 9. How many fruits were in Carton E in the end?

	Carton D		Carton E
	Persimmons	Oranges	Persimmons	Oranges
Before	3 u	8 u	2x7 =  14 p	1x7 = 7 p
Change		- 6 u		+ 6 u (+ 11 p)
After	3 u	2 u	7x2 = 14 p	9x2 = 18 p

Number of oranges that Nora transferred from Carton D to Carton E
= ³₄ x 8 u
= 6 u

Total number of fruits in Carton D in the end
= 3 u + 2 u
= 5 u

5 u = 55
1 u = 55 ÷ 5 = 11

The number of persimmons in Carton E is the unchanged quantity.
LCM of 2 and 7 is 14.

Number of oranges that Nora transferred from Carton D to Carton E
= 6 u
= 6 x 11
= 66

Increase in the number of oranges that due to the transfer from Carton D to Carton E
= 18 p - 7 p
= 11 p

11 p = 6 u 
11 p = 66

1 p = 66 ÷ 11 = 6

Number of fruits in Carton E in the end
= 14 p + 18 p
= 32 p
= 32 x 6
= 192

Answer(s): 192