George had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket H and the ratio of chikoos to passion fruits was 1 : 2. When he reached Supermarket J, he unloaded ¹¹₁₂ of the passion fruits and some chikoos from his van. The ratio of chikoos to passion fruits became 2 : 3. At Supermarket K, 67 chikoos and 47 passion fruits were collected and the number of chikoos to passion fruits became the same.

1. How many fruits were there on his van after visiting Supermarket K?
2. How many chikoos were delivered to Supermarket J?

	Location	Chikoos	Passion Fruits
Comparing chikoos and passion fruits at first	Supermarket H	1x18 = 18 u	2x18 = 36 u
Before 1	Supermarket H	18 u	12x3 = 36 u
Change 1	Supermarket J	- ?	- 11x3 = - 33 u
After 1	Supermarket K	2 u	1x3 = 3 u
Before 2	Supermarket K	2x1 = 2 u	3x1 = 3 u
Change 2	Supermarket K	+ 67	+ 47
After 2	Supermarket K	2 u + 67	3 u + 47

(a)
The number of passion fruits after unloading at Supermarket J is repeated.  Make the number of passion fruits left after unloading at Supermarket J the same.  LCM of 3 and 1 is 3.

The number of passion fruits collected at Supermarket H is repeated.  Make the number of passion fruits collected at Supermarket H the same by multiplying 2 by 18. 
 
The number of chikoos and passion fruits in the end is the same.

3 u + 47 = 2 u + 67
3 u - 2 u = 67 - 47

1 u = 20

Number of chikoos on his van after collecting from Supermarket K
= 2 u + 67
= 2 x 20 + 67
= 40 + 67
= 107

Number of fruits on his van after collecting from Supermarket K
= 2 x 107 
= 214 

(b)
Number of chikoos delivered to Supermarket J
= 18 u - 2 u
= 16 u
= 16 x 20
= 320

Answer(s): (a) 214; (b) 320