Vaidev had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market W and the ratio of kiwis to mangoes was 3 : 4. When he reached Market X, he unloaded ¹¹₁₂ of the mangoes and some kiwis from his van. The ratio of kiwis to mangoes became 3 : 4. At Market Y, 18 kiwis and 10 mangoes were collected and the number of kiwis to mangoes became the same.

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

	Location	Kiwis	Mangoes
Comparing kiwis and mangoes at first	Market W	3x12 = 36 u	4x12 = 48 u
Before 1	Market W	36 u	12x4 = 48 u
Change 1	Market X	- ?	- 11x4 = - 44 u
After 1	Market Y	3 u	1x4 = 4 u
Before 2	Market Y	3x1 = 3 u	4x1 = 4 u
Change 2	Market Y	+ 18	+ 10
After 2	Market Y	3 u + 18	4 u + 10

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

The number of mangoes collected at Market W is repeated.  Make the number of mangoes collected at Market W the same by multiplying 4 by 12. 
 
The number of kiwis and mangoes in the end is the same.

4 u + 10 = 3 u + 18
4 u - 3 u = 18 - 10

1 u = 8

Number of kiwis on his van after collecting from Market Y
= 3 u + 18
= 3 x 8 + 18
= 24 + 18
= 42

Number of fruits on his van after collecting from Market Y
= 2 x 42 
= 84 

(b)
Number of kiwis delivered to Market X
= 36 u - 3 u
= 33 u
= 33 x 8
= 264

Answer(s): (a) 84; (b) 264