Justin had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket U and the ratio of apples to lemons was 1 : 2. When he reached Supermarket V, he unloaded ⁷₈ of the lemons and some apples from his vehicle. The ratio of apples to lemons became 2 : 3. At Supermarket W, 48 apples and 39 lemons were collected and the number of apples to lemons became the same.

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

	Location	Apples	Lemons
Comparing apples and lemons at first	Supermarket U	1x12 = 12 u	2x12 = 24 u
Before 1	Supermarket U	12 u	8x3 = 24 u
Change 1	Supermarket V	- ?	- 7x3 = - 21 u
After 1	Supermarket W	2 u	1x3 = 3 u
Before 2	Supermarket W	2x1 = 2 u	3x1 = 3 u
Change 2	Supermarket W	+ 48	+ 39
After 2	Supermarket W	2 u + 48	3 u + 39

(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 3 and 1 is 3.

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

3 u + 39 = 2 u + 48
3 u - 2 u = 48 - 39

1 u = 9

Number of apples on his vehicle after collecting from Supermarket W
= 2 u + 48
= 2 x 9 + 48
= 18 + 48
= 66

Number of fruits on his vehicle after collecting from Supermarket W
= 2 x 66 
= 132 

(b)
Number of apples delivered to Supermarket V
= 12 u - 2 u
= 10 u
= 10 x 9
= 90

Answer(s): (a) 132; (b) 90