Eric had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall V and the ratio of passion fruits to pomegranates was 1 : 3. When he reached Stall W, he unloaded ⁷₈ of the pomegranates and some passion fruits from his vehicle. The ratio of passion fruits to pomegranates became 2 : 3. At Stall X, 48 passion fruits and 39 pomegranates were collected and the number of passion fruits to pomegranates became the same.

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

	Location	Passion Fruits	Pomegranates
Comparing passion fruits and pomegranates at first	Stall V	1x8 = 8 u	3x8 = 24 u
Before 1	Stall V	8 u	8x3 = 24 u
Change 1	Stall W	- ?	- 7x3 = - 21 u
After 1	Stall X	2 u	1x3 = 3 u
Before 2	Stall X	2x1 = 2 u	3x1 = 3 u
Change 2	Stall X	+ 48	+ 39
After 2	Stall X	2 u + 48	3 u + 39

(a)
The number of pomegranates after unloading at Stall W is repeated.  Make the number of pomegranates left after unloading at Stall W the same.  LCM of 3 and 1 is 3.

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

3 u + 39 = 2 u + 48
3 u - 2 u = 48 - 39

1 u = 9

Number of passion fruits on his vehicle after collecting from Stall X
= 2 u + 48
= 2 x 9 + 48
= 18 + 48
= 66

Number of fruits on his vehicle after collecting from Stall X
= 2 x 66 
= 132 

(b)
Number of passion fruits delivered to Stall W
= 8 u - 2 u
= 6 u
= 6 x 9
= 54

Answer(s): (a) 132; (b) 54