Flynn had to collect some fruits from two shops and deliver some fruits to another shop. He collected from Shop L and the ratio of pears to pomegranates was 1 : 2. When he reached Shop M, he unloaded ⁷₈ of the pomegranates and some pears from his vehicle. The ratio of pears to pomegranates became 1 : 2. At Shop N, 48 pears and 28 pomegranates were collected and the number of pears to pomegranates became the same.

1. How many fruits were there on his vehicle after visiting Shop N?
2. How many pears were delivered to Shop M?

	Location	Pears	Pomegranates
Comparing pears and pomegranates at first	Shop L	1x8 = 8 u	2x8 = 16 u
Before 1	Shop L	8 u	8x2 = 16 u
Change 1	Shop M	- ?	- 7x2 = - 14 u
After 1	Shop N	1 u	1x2 = 2 u
Before 2	Shop N	1x1 = 1 u	2x1 = 2 u
Change 2	Shop N	+ 48	+ 28
After 2	Shop N	1 u + 48	2 u + 28

(a)
The number of pomegranates after unloading at Shop M is repeated.  Make the number of pomegranates left after unloading at Shop M the same.  LCM of 2 and 1 is 2.

The number of pomegranates collected at Shop L is repeated.  Make the number of pomegranates collected at Shop L the same by multiplying 2 by 8. 
 
The number of pears and pomegranates in the end is the same.

2 u + 28 = 1 u + 48
2 u - 1 u = 48 - 28

1 u = 20

Number of pears on his vehicle after collecting from Shop N
= 1 u + 48
= 1 x 20 + 48
= 20 + 48
= 68

Number of fruits on his vehicle after collecting from Shop N
= 2 x 68 
= 136 

(b)
Number of pears delivered to Shop M
= 8 u - 1 u
= 7 u
= 7 x 20
= 140

Answer(s): (a) 136; (b) 140