Jenson had to collect some fruits from two supermarkets and deliver some fruits to another supermarket. He collected from Supermarket G and the ratio of pears to oranges was 1 : 5. When he reached Supermarket H, he unloaded ⁹₁₀ of the oranges and some pears from his lorry. The ratio of pears to oranges became 2 : 3. At Supermarket J, 59 pears and 46 oranges were collected and the number of pears to oranges became the same.

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

	Location	Pears	Oranges
Comparing pears and oranges at first	Supermarket G	1x6 = 6 u	5x6 = 30 u
Before 1	Supermarket G	6 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	+ 59	+ 46
After 2	Supermarket J	2 u + 59	3 u + 46

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

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

3 u + 46 = 2 u + 59
3 u - 2 u = 59 - 46

1 u = 13

Number of pears on his lorry after collecting from Supermarket J
= 2 u + 59
= 2 x 13 + 59
= 26 + 59
= 85

Number of fruits on his lorry after collecting from Supermarket J
= 2 x 85 
= 170 

(b)
Number of pears delivered to Supermarket H
= 6 u - 2 u
= 4 u
= 4 x 13
= 52

Answer(s): (a) 170; (b) 52