Lee had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market T and the ratio of mangoes to persimmons was 2 : 3. When he reached Market U, he unloaded ⁵₆ of the persimmons and some mangoes from his vehicle. The ratio of mangoes to persimmons became 3 : 4. At Market V, 27 mangoes and 13 persimmons were collected and the number of mangoes to persimmons became the same.

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

	Location	Mangoes	Persimmons
Comparing mangoes and persimmons at first	Market T	2x8 = 16 u	3x8 = 24 u
Before 1	Market T	16 u	6x4 = 24 u
Change 1	Market U	- ?	- 5x4 = - 20 u
After 1	Market V	3 u	1x4 = 4 u
Before 2	Market V	3x1 = 3 u	4x1 = 4 u
Change 2	Market V	+ 27	+ 13
After 2	Market V	3 u + 27	4 u + 13

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

The number of persimmons collected at Market T is repeated.  Make the number of persimmons collected at Market T the same by multiplying 3 by 8. 
 
The number of mangoes and persimmons in the end is the same.

4 u + 13 = 3 u + 27
4 u - 3 u = 27 - 13

1 u = 14

Number of mangoes on his vehicle after collecting from Market V
= 3 u + 27
= 3 x 14 + 27
= 42 + 27
= 69

Number of fruits on his vehicle after collecting from Market V
= 2 x 69 
= 138 

(b)
Number of mangoes delivered to Market U
= 16 u - 3 u
= 13 u
= 13 x 14
= 182

Answer(s): (a) 138; (b) 182