Brandon had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall S and the ratio of lemons to mangosteens was 1 : 2. When he reached Stall T, he unloaded ⁹₁₀ of the mangosteens and some lemons from his lorry. The ratio of lemons to mangosteens became 2 : 3. At Stall U, 31 lemons and 23 mangosteens were collected and the number of lemons to mangosteens became the same.

1. How many fruits were there on his lorry after visiting Stall U?
2. How many lemons were delivered to Stall T?

	Location	Lemons	Mangosteens
Comparing lemons and mangosteens at first	Stall S	1x15 = 15 u	2x15 = 30 u
Before 1	Stall S	15 u	10x3 = 30 u
Change 1	Stall T	- ?	- 9x3 = - 27 u
After 1	Stall U	2 u	1x3 = 3 u
Before 2	Stall U	2x1 = 2 u	3x1 = 3 u
Change 2	Stall U	+ 31	+ 23
After 2	Stall U	2 u + 31	3 u + 23

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

The number of mangosteens collected at Stall S is repeated.  Make the number of mangosteens collected at Stall S the same by multiplying 2 by 15. 
 
The number of lemons and mangosteens in the end is the same.

3 u + 23 = 2 u + 31
3 u - 2 u = 31 - 23

1 u = 8

Number of lemons on his lorry after collecting from Stall U
= 2 u + 31
= 2 x 8 + 31
= 16 + 31
= 47

Number of fruits on his lorry after collecting from Stall U
= 2 x 47 
= 94 

(b)
Number of lemons delivered to Stall T
= 15 u - 2 u
= 13 u
= 13 x 8
= 104

Answer(s): (a) 94; (b) 104