George had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket G and the ratio of starfruits to pears was 2 : 5. When he reached Supermarket H, he unloaded ⁹₁₀ of the pears and some starfruits from his vehicle. The ratio of starfruits to pears became 2 : 3. At Supermarket J, 50 starfruits and 48 pears were collected and the number of starfruits to pears became the same.

1. How many fruits were there on his vehicle after visiting Supermarket J?
2. How many starfruits were delivered to Supermarket H?

	Location	Starfruits	Pears
Comparing starfruits and pears at first	Supermarket G	2x6 = 12 u	5x6 = 30 u
Before 1	Supermarket G	12 u	10x3 = 30 u
Change 1	Supermarket H	- ?	- 9x3 = - 27 u
After 1	Supermarket J	2 u	1x3 = 3 u
Before 2	Supermarket J	2x1 = 2 u	3x1 = 3 u
Change 2	Supermarket J	+ 50	+ 48
After 2	Supermarket J	2 u + 50	3 u + 48

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

The number of pears collected at Supermarket G is repeated.  Make the number of pears collected at Supermarket G the same by multiplying 5 by 6. 
 
The number of starfruits and pears in the end is the same.

3 u + 48 = 2 u + 50
3 u - 2 u = 50 - 48

1 u = 2

Number of starfruits on his vehicle after collecting from Supermarket J
= 2 u + 50
= 2 x 2 + 50
= 4 + 50
= 54

Number of fruits on his vehicle after collecting from Supermarket J
= 2 x 54 
= 108 

(b)
Number of starfruits delivered to Supermarket H
= 12 u - 2 u
= 10 u
= 10 x 2
= 20

Answer(s): (a) 108; (b) 20