Cody had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall M and the ratio of apples to mangosteens was 1 : 3. When he reached Stall N, he unloaded ⁵₆ of the mangosteens and some apples from his lorry. The ratio of apples to mangosteens became 1 : 2. At Stall P, 47 apples and 45 mangosteens were collected and the number of apples to mangosteens became the same.

1. How many fruits were there on his lorry after visiting Stall P?
2. How many apples were delivered to Stall N?

	Location	Apples	Mangosteens
Comparing apples and mangosteens at first	Stall M	1x4 = 4 u	3x4 = 12 u
Before 1	Stall M	4 u	6x2 = 12 u
Change 1	Stall N	- ?	- 5x2 = - 10 u
After 1	Stall P	1 u	1x2 = 2 u
Before 2	Stall P	1x1 = 1 u	2x1 = 2 u
Change 2	Stall P	+ 47	+ 45
After 2	Stall P	1 u + 47	2 u + 45

(a)
The number of mangosteens after unloading at Stall N is repeated.  Make the number of mangosteens left after unloading at Stall N the same.  LCM of 2 and 1 is 2.

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

2 u + 45 = 1 u + 47
2 u - 1 u = 47 - 45

1 u = 2

Number of apples on his lorry after collecting from Stall P
= 1 u + 47
= 1 x 2 + 47
= 2 + 47
= 49

Number of fruits on his lorry after collecting from Stall P
= 2 x 49 
= 98 

(b)
Number of apples delivered to Stall N
= 4 u - 1 u
= 3 u
= 3 x 2
= 6

Answer(s): (a) 98; (b) 6