Lee had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market L and the ratio of chikoos to mangosteens was 5 : 8. When he reached Market M, he unloaded ⁵₆ of the mangosteens and some chikoos from his van. The ratio of chikoos to mangosteens became 3 : 4. At Market N, 51 chikoos and 43 mangosteens were collected and the number of chikoos to mangosteens became the same.

1. How many fruits were there on his van after visiting Market N?
2. How many chikoos were delivered to Market M?

	Location	Chikoos	Mangosteens
Comparing chikoos and mangosteens at first	Market L	5x3 = 15 u	8x3 = 24 u
Before 1	Market L	15 u	6x4 = 24 u
Change 1	Market M	- ?	- 5x4 = - 20 u
After 1	Market N	3 u	1x4 = 4 u
Before 2	Market N	3x1 = 3 u	4x1 = 4 u
Change 2	Market N	+ 51	+ 43
After 2	Market N	3 u + 51	4 u + 43

(a)
The number of mangosteens after unloading at Market M is repeated.  Make the number of mangosteens left after unloading at Market M the same.  LCM of 4 and 1 is 4.

The number of mangosteens collected at Market L is repeated.  Make the number of mangosteens collected at Market L the same by multiplying 8 by 3. 
 
The number of chikoos and mangosteens in the end is the same.

4 u + 43 = 3 u + 51
4 u - 3 u = 51 - 43

1 u = 8

Number of chikoos on his van after collecting from Market N
= 3 u + 51
= 3 x 8 + 51
= 24 + 51
= 75

Number of fruits on his van after collecting from Market N
= 2 x 75 
= 150 

(b)
Number of chikoos delivered to Market M
= 15 u - 3 u
= 12 u
= 12 x 8
= 96

Answer(s): (a) 150; (b) 96