Jenson had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market T and the ratio of starfruits to pears was 5 : 6. When he reached Market U, he unloaded ¹¹₁₂ of the pears and some starfruits from his van. The ratio of starfruits to pears became 3 : 4. At Market V, 20 starfruits and 14 pears were collected and the number of starfruits to pears became the same.

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

	Location	Starfruits	Pears
Comparing starfruits and pears at first	Market T	5x8 = 40 u	6x8 = 48 u
Before 1	Market T	40 u	12x4 = 48 u
Change 1	Market U	- ?	- 11x4 = - 44 u
After 1	Market V	3 u	1x4 = 4 u
Before 2	Market V	3x1 = 3 u	4x1 = 4 u
Change 2	Market V	+ 20	+ 14
After 2	Market V	3 u + 20	4 u + 14

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

The number of pears collected at Market T is repeated.  Make the number of pears collected at Market T the same by multiplying 6 by 8. 
 
The number of starfruits and pears in the end is the same.

4 u + 14 = 3 u + 20
4 u - 3 u = 20 - 14

1 u = 6

Number of starfruits on his van after collecting from Market V
= 3 u + 20
= 3 x 6 + 20
= 18 + 20
= 38

Number of fruits on his van after collecting from Market V
= 2 x 38 
= 76 

(b)
Number of starfruits delivered to Market U
= 40 u - 3 u
= 37 u
= 37 x 6
= 222

Answer(s): (a) 76; (b) 222