Cole had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall U and the ratio of passion fruits to oranges was 2 : 3. When he reached Stall V, he unloaded ¹¹₁₂ of the oranges and some passion fruits from his van. The ratio of passion fruits to oranges became 1 : 2. At Stall W, 63 passion fruits and 44 oranges were collected and the number of passion fruits to oranges became the same.

1. How many fruits were there on his van after visiting Stall W?
2. How many passion fruits were delivered to Stall V?

	Location	Passion Fruits	Oranges
Comparing passion fruits and oranges at first	Stall U	2x8 = 16 u	3x8 = 24 u
Before 1	Stall U	16 u	12x2 = 24 u
Change 1	Stall V	- ?	- 11x2 = - 22 u
After 1	Stall W	1 u	1x2 = 2 u
Before 2	Stall W	1x1 = 1 u	2x1 = 2 u
Change 2	Stall W	+ 63	+ 44
After 2	Stall W	1 u + 63	2 u + 44

(a)
The number of oranges after unloading at Stall V is repeated.  Make the number of oranges left after unloading at Stall V the same.  LCM of 2 and 1 is 2.

The number of oranges collected at Stall U is repeated.  Make the number of oranges collected at Stall U the same by multiplying 3 by 8. 
 
The number of passion fruits and oranges in the end is the same.

2 u + 44 = 1 u + 63
2 u - 1 u = 63 - 44

1 u = 19

Number of passion fruits on his van after collecting from Stall W
= 1 u + 63
= 1 x 19 + 63
= 19 + 63
= 82

Number of fruits on his van after collecting from Stall W
= 2 x 82 
= 164 

(b)
Number of passion fruits delivered to Stall V
= 16 u - 1 u
= 15 u
= 15 x 19
= 285

Answer(s): (a) 164; (b) 285