Neave had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall D and the ratio of oranges to starfruits was 7 : 8. When he reached Stall E, he unloaded ¹¹₁₂ of the starfruits and some oranges from his lorry. The ratio of oranges to starfruits became 3 : 4. At Stall F, 43 oranges and 39 starfruits were collected and the number of oranges to starfruits became the same.

1. How many fruits were there on his lorry after visiting Stall F?
2. How many oranges were delivered to Stall E?

	Location	Oranges	Starfruits
Comparing oranges and starfruits at first	Stall D	7x6 = 42 u	8x6 = 48 u
Before 1	Stall D	42 u	12x4 = 48 u
Change 1	Stall E	- ?	- 11x4 = - 44 u
After 1	Stall F	3 u	1x4 = 4 u
Before 2	Stall F	3x1 = 3 u	4x1 = 4 u
Change 2	Stall F	+ 43	+ 39
After 2	Stall F	3 u + 43	4 u + 39

(a)
The number of starfruits after unloading at Stall E is repeated.  Make the number of starfruits left after unloading at Stall E the same.  LCM of 4 and 1 is 4.

The number of starfruits collected at Stall D is repeated.  Make the number of starfruits collected at Stall D the same by multiplying 8 by 6. 
 
The number of oranges and starfruits in the end is the same.

4 u + 39 = 3 u + 43
4 u - 3 u = 43 - 39

1 u = 4

Number of oranges on his lorry after collecting from Stall F
= 3 u + 43
= 3 x 4 + 43
= 12 + 43
= 55

Number of fruits on his lorry after collecting from Stall F
= 2 x 55 
= 110 

(b)
Number of oranges delivered to Stall E
= 42 u - 3 u
= 39 u
= 39 x 4
= 156

Answer(s): (a) 110; (b) 156