Tommy had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall X and the ratio of mangoes to oranges was 1 : 8. When he reached Stall Y, he unloaded ¹¹₁₂ of the oranges and some mangoes from his vehicle. The ratio of mangoes to oranges became 3 : 4. At Stall Z, 40 mangoes and 32 oranges were collected and the number of mangoes to oranges became the same.

1. How many fruits were there on his vehicle after visiting Stall Z?
2. How many mangoes were delivered to Stall Y?

	Location	Mangoes	Oranges
Comparing mangoes and oranges at first	Stall X	1x6 = 6 u	8x6 = 48 u
Before 1	Stall X	6 u	12x4 = 48 u
Change 1	Stall Y	- ?	- 11x4 = - 44 u
After 1	Stall Z	3 u	1x4 = 4 u
Before 2	Stall Z	3x1 = 3 u	4x1 = 4 u
Change 2	Stall Z	+ 40	+ 32
After 2	Stall Z	3 u + 40	4 u + 32

(a)
The number of oranges after unloading at Stall Y is repeated.  Make the number of oranges left after unloading at Stall Y the same.  LCM of 4 and 1 is 4.

The number of oranges collected at Stall X is repeated.  Make the number of oranges collected at Stall X the same by multiplying 8 by 6. 
 
The number of mangoes and oranges in the end is the same.

4 u + 32 = 3 u + 40
4 u - 3 u = 40 - 32

1 u = 8

Number of mangoes on his vehicle after collecting from Stall Z
= 3 u + 40
= 3 x 8 + 40
= 24 + 40
= 64

Number of fruits on his vehicle after collecting from Stall Z
= 2 x 64 
= 128 

(b)
Number of mangoes delivered to Stall Y
= 6 u - 3 u
= 3 u
= 3 x 8
= 24

Answer(s): (a) 128; (b) 24