Seth had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market V and the ratio of kiwis to pomegranates was 2 : 5. When he reached Market W, he unloaded ⁹₁₀ of the pomegranates and some kiwis from his vehicle. The ratio of kiwis to pomegranates became 3 : 4. At Market X, 57 kiwis and 50 pomegranates were collected and the number of kiwis to pomegranates became the same.

1. How many fruits were there on his vehicle after visiting Market X?
2. How many kiwis were delivered to Market W?

	Location	Kiwis	Pomegranates
Comparing kiwis and pomegranates at first	Market V	2x8 = 16 u	5x8 = 40 u
Before 1	Market V	16 u	10x4 = 40 u
Change 1	Market W	- ?	- 9x4 = - 36 u
After 1	Market X	3 u	1x4 = 4 u
Before 2	Market X	3x1 = 3 u	4x1 = 4 u
Change 2	Market X	+ 57	+ 50
After 2	Market X	3 u + 57	4 u + 50

(a)
The number of pomegranates after unloading at Market W is repeated.  Make the number of pomegranates left after unloading at Market W the same.  LCM of 4 and 1 is 4.

The number of pomegranates collected at Market V is repeated.  Make the number of pomegranates collected at Market V the same by multiplying 5 by 8. 
 
The number of kiwis and pomegranates in the end is the same.

4 u + 50 = 3 u + 57
4 u - 3 u = 57 - 50

1 u = 7

Number of kiwis on his vehicle after collecting from Market X
= 3 u + 57
= 3 x 7 + 57
= 21 + 57
= 78

Number of fruits on his vehicle after collecting from Market X
= 2 x 78 
= 156 

(b)
Number of kiwis delivered to Market W
= 16 u - 3 u
= 13 u
= 13 x 7
= 91

Answer(s): (a) 156; (b) 91