Vaidev had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall V and the ratio of lemons to mangoes was 2 : 9. When he reached Stall W, he unloaded ¹¹₁₂ of the mangoes and some lemons from his van. The ratio of lemons to mangoes became 2 : 3. At Stall X, 61 lemons and 42 mangoes were collected and the number of lemons to mangoes became the same.

1. How many fruits were there on his van after visiting Stall X?
2. How many lemons were delivered to Stall W?

	Location	Lemons	Mangoes
Comparing lemons and mangoes at first	Stall V	2x4 = 8 u	9x4 = 36 u
Before 1	Stall V	8 u	12x3 = 36 u
Change 1	Stall W	- ?	- 11x3 = - 33 u
After 1	Stall X	2 u	1x3 = 3 u
Before 2	Stall X	2x1 = 2 u	3x1 = 3 u
Change 2	Stall X	+ 61	+ 42
After 2	Stall X	2 u + 61	3 u + 42

(a)
The number of mangoes after unloading at Stall W is repeated.  Make the number of mangoes left after unloading at Stall W the same.  LCM of 3 and 1 is 3.

The number of mangoes collected at Stall V is repeated.  Make the number of mangoes collected at Stall V the same by multiplying 9 by 4. 
 
The number of lemons and mangoes in the end is the same.

3 u + 42 = 2 u + 61
3 u - 2 u = 61 - 42

1 u = 19

Number of lemons on his van after collecting from Stall X
= 2 u + 61
= 2 x 19 + 61
= 38 + 61
= 99

Number of fruits on his van after collecting from Stall X
= 2 x 99 
= 198 

(b)
Number of lemons delivered to Stall W
= 8 u - 2 u
= 6 u
= 6 x 19
= 114

Answer(s): (a) 198; (b) 114