Perry had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket U and the ratio of lemons to chikoos was 1 : 4. When he reached Supermarket V, he unloaded ⁵₆ of the chikoos and some lemons from his vehicle. The ratio of lemons to chikoos became 3 : 4. At Supermarket W, 57 lemons and 44 chikoos were collected and the number of lemons to chikoos became the same.

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

	Location	Lemons	Chikoos
Comparing lemons and chikoos at first	Supermarket U	1x6 = 6 u	4x6 = 24 u
Before 1	Supermarket U	6 u	6x4 = 24 u
Change 1	Supermarket V	- ?	- 5x4 = - 20 u
After 1	Supermarket W	3 u	1x4 = 4 u
Before 2	Supermarket W	3x1 = 3 u	4x1 = 4 u
Change 2	Supermarket W	+ 57	+ 44
After 2	Supermarket W	3 u + 57	4 u + 44

(a)
The number of chikoos after unloading at Supermarket V is repeated.  Make the number of chikoos left after unloading at Supermarket V the same.  LCM of 4 and 1 is 4.

The number of chikoos collected at Supermarket U is repeated.  Make the number of chikoos collected at Supermarket U the same by multiplying 4 by 6. 
 
The number of lemons and chikoos in the end is the same.

4 u + 44 = 3 u + 57
4 u - 3 u = 57 - 44

1 u = 13

Number of lemons on his vehicle after collecting from Supermarket W
= 3 u + 57
= 3 x 13 + 57
= 39 + 57
= 96

Number of fruits on his vehicle after collecting from Supermarket W
= 2 x 96 
= 192 

(b)
Number of lemons delivered to Supermarket V
= 6 u - 3 u
= 3 u
= 3 x 13
= 39

Answer(s): (a) 192; (b) 39