Jeremy had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket U and the ratio of chikoos to lemons was 1 : 3. When he reached Supermarket V, he unloaded ¹¹₁₂ of the lemons and some chikoos from his vehicle. The ratio of chikoos to lemons became 1 : 2. At Supermarket W, 33 chikoos and 27 lemons were collected and the number of chikoos to lemons became the same.

1. How many fruits were there on his vehicle after visiting Supermarket W?
2. How many chikoos were delivered to Supermarket V?

	Location	Chikoos	Lemons
Comparing chikoos and lemons at first	Supermarket U	1x8 = 8 u	3x8 = 24 u
Before 1	Supermarket U	8 u	12x2 = 24 u
Change 1	Supermarket V	- ?	- 11x2 = - 22 u
After 1	Supermarket W	1 u	1x2 = 2 u
Before 2	Supermarket W	1x1 = 1 u	2x1 = 2 u
Change 2	Supermarket W	+ 33	+ 27
After 2	Supermarket W	1 u + 33	2 u + 27

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

The number of lemons collected at Supermarket U is repeated.  Make the number of lemons collected at Supermarket U the same by multiplying 3 by 8. 
 
The number of chikoos and lemons in the end is the same.

2 u + 27 = 1 u + 33
2 u - 1 u = 33 - 27

1 u = 6

Number of chikoos on his vehicle after collecting from Supermarket W
= 1 u + 33
= 1 x 6 + 33
= 6 + 33
= 39

Number of fruits on his vehicle after collecting from Supermarket W
= 2 x 39 
= 78 

(b)
Number of chikoos delivered to Supermarket V
= 8 u - 1 u
= 7 u
= 7 x 6
= 42

Answer(s): (a) 78; (b) 42