Flynn had to collect some fruits from two shops and deliver some fruits to another shop. He collected from Shop U and the ratio of kiwis to passion fruits was 1 : 4. When he reached Shop V, he unloaded ⁷₈ of the passion fruits and some kiwis from his van. The ratio of kiwis to passion fruits became 1 : 2. At Shop W, 57 kiwis and 41 passion fruits were collected and the number of kiwis to passion fruits became the same.

1. How many fruits were there on his van after visiting Shop W?
2. How many kiwis were delivered to Shop V?

	Location	Kiwis	Passion Fruits
Comparing kiwis and passion fruits at first	Shop U	1x4 = 4 u	4x4 = 16 u
Before 1	Shop U	4 u	8x2 = 16 u
Change 1	Shop V	- ?	- 7x2 = - 14 u
After 1	Shop W	1 u	1x2 = 2 u
Before 2	Shop W	1x1 = 1 u	2x1 = 2 u
Change 2	Shop W	+ 57	+ 41
After 2	Shop W	1 u + 57	2 u + 41

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

The number of passion fruits collected at Shop U is repeated.  Make the number of passion fruits collected at Shop U the same by multiplying 4 by 4. 
 
The number of kiwis and passion fruits in the end is the same.

2 u + 41 = 1 u + 57
2 u - 1 u = 57 - 41

1 u = 16

Number of kiwis on his van after collecting from Shop W
= 1 u + 57
= 1 x 16 + 57
= 16 + 57
= 73

Number of fruits on his van after collecting from Shop W
= 2 x 73 
= 146 

(b)
Number of kiwis delivered to Shop V
= 4 u - 1 u
= 3 u
= 3 x 16
= 48

Answer(s): (a) 146; (b) 48