Harry had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall T and the ratio of mangosteens to passion fruits was 3 : 4. When he reached Stall U, he unloaded ³₄ of the passion fruits and some mangosteens from his vehicle. The ratio of mangosteens to passion fruits became 2 : 3. At Stall V, 36 mangosteens and 27 passion fruits were collected and the number of mangosteens to passion fruits became the same.

1. How many fruits were there on his vehicle after visiting Stall V?
2. How many mangosteens were delivered to Stall U?

	Location	Mangosteens	Passion Fruits
Comparing mangosteens and passion fruits at first	Stall T	3x3 = 9 u	4x3 = 12 u
Before 1	Stall T	9 u	4x3 = 12 u
Change 1	Stall U	- ?	- 3x3 = - 9 u
After 1	Stall V	2 u	1x3 = 3 u
Before 2	Stall V	2x1 = 2 u	3x1 = 3 u
Change 2	Stall V	+ 36	+ 27
After 2	Stall V	2 u + 36	3 u + 27

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

The number of passion fruits collected at Stall T is repeated.  Make the number of passion fruits collected at Stall T the same by multiplying 4 by 3. 
 
The number of mangosteens and passion fruits in the end is the same.

3 u + 27 = 2 u + 36
3 u - 2 u = 36 - 27

1 u = 9

Number of mangosteens on his vehicle after collecting from Stall V
= 2 u + 36
= 2 x 9 + 36
= 18 + 36
= 54

Number of fruits on his vehicle after collecting from Stall V
= 2 x 54 
= 108 

(b)
Number of mangosteens delivered to Stall U
= 9 u - 2 u
= 7 u
= 7 x 9
= 63

Answer(s): (a) 108; (b) 63