Ken had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market V and the ratio of mangosteens to persimmons was 1 : 3. When he reached Market W, he unloaded ¹¹₁₂ of the persimmons and some mangosteens from his vehicle. The ratio of mangosteens to persimmons became 3 : 4. At Market X, 38 mangosteens and 20 persimmons were collected and the number of mangosteens to persimmons became the same.

1. How many fruits were there on his vehicle after visiting Market X?
2. How many mangosteens were delivered to Market W?

	Location	Mangosteens	Persimmons
Comparing mangosteens and persimmons at first	Market V	1x16 = 16 u	3x16 = 48 u
Before 1	Market V	16 u	12x4 = 48 u
Change 1	Market W	- ?	- 11x4 = - 44 u
After 1	Market X	3 u	1x4 = 4 u
Before 2	Market X	3x1 = 3 u	4x1 = 4 u
Change 2	Market X	+ 38	+ 20
After 2	Market X	3 u + 38	4 u + 20

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

The number of persimmons collected at Market V is repeated.  Make the number of persimmons collected at Market V the same by multiplying 3 by 16. 
 
The number of mangosteens and persimmons in the end is the same.

4 u + 20 = 3 u + 38
4 u - 3 u = 38 - 20

1 u = 18

Number of mangosteens on his vehicle after collecting from Market X
= 3 u + 38
= 3 x 18 + 38
= 54 + 38
= 92

Number of fruits on his vehicle after collecting from Market X
= 2 x 92 
= 184 

(b)
Number of mangosteens delivered to Market W
= 16 u - 3 u
= 13 u
= 13 x 18
= 234

Answer(s): (a) 184; (b) 234