Riordan had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket U and the ratio of persimmons to apples was 1 : 2. When he reached Supermarket V, he unloaded ¹¹₁₂ of the apples and some persimmons from his vehicle. The ratio of persimmons to apples became 1 : 2. At Supermarket W, 32 persimmons and 26 apples were collected and the number of persimmons to apples became the same.

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

	Location	Persimmons	Apples
Comparing persimmons and apples at first	Supermarket U	1x12 = 12 u	2x12 = 24 u
Before 1	Supermarket U	12 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	+ 32	+ 26
After 2	Supermarket W	1 u + 32	2 u + 26

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

The number of apples collected at Supermarket U is repeated.  Make the number of apples collected at Supermarket U the same by multiplying 2 by 12. 
 
The number of persimmons and apples in the end is the same.

2 u + 26 = 1 u + 32
2 u - 1 u = 32 - 26

1 u = 6

Number of persimmons on his vehicle after collecting from Supermarket W
= 1 u + 32
= 1 x 6 + 32
= 6 + 32
= 38

Number of fruits on his vehicle after collecting from Supermarket W
= 2 x 38 
= 76 

(b)
Number of persimmons delivered to Supermarket V
= 12 u - 1 u
= 11 u
= 11 x 6
= 66

Answer(s): (a) 76; (b) 66