Liam had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall F and the ratio of passion fruits to apples was 7 : 8. When he reached Stall G, he unloaded ⁷₈ of the apples and some passion fruits from his vehicle. The ratio of passion fruits to apples became 1 : 2. At Stall H, 43 passion fruits and 26 apples were collected and the number of passion fruits to apples became the same.

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

	Location	Passion Fruits	Apples
Comparing passion fruits and apples at first	Stall F	7x2 = 14 u	8x2 = 16 u
Before 1	Stall F	14 u	8x2 = 16 u
Change 1	Stall G	- ?	- 7x2 = - 14 u
After 1	Stall H	1 u	1x2 = 2 u
Before 2	Stall H	1x1 = 1 u	2x1 = 2 u
Change 2	Stall H	+ 43	+ 26
After 2	Stall H	1 u + 43	2 u + 26

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

The number of apples collected at Stall F is repeated.  Make the number of apples collected at Stall F the same by multiplying 8 by 2. 
 
The number of passion fruits and apples in the end is the same.

2 u + 26 = 1 u + 43
2 u - 1 u = 43 - 26

1 u = 17

Number of passion fruits on his vehicle after collecting from Stall H
= 1 u + 43
= 1 x 17 + 43
= 17 + 43
= 60

Number of fruits on his vehicle after collecting from Stall H
= 2 x 60 
= 120 

(b)
Number of passion fruits delivered to Stall G
= 14 u - 1 u
= 13 u
= 13 x 17
= 221

Answer(s): (a) 120; (b) 221