Ivan had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market J and the ratio of starfruits to oranges was 1 : 3. When he reached Market K, he unloaded ⁵₆ of the oranges and some starfruits from his lorry. The ratio of starfruits to oranges became 3 : 4. At Market L, 36 starfruits and 29 oranges were collected and the number of starfruits to oranges became the same.

1. How many fruits were there on his lorry after visiting Market L?
2. How many starfruits were delivered to Market K?

	Location	Starfruits	Oranges
Comparing starfruits and oranges at first	Market J	1x8 = 8 u	3x8 = 24 u
Before 1	Market J	8 u	6x4 = 24 u
Change 1	Market K	- ?	- 5x4 = - 20 u
After 1	Market L	3 u	1x4 = 4 u
Before 2	Market L	3x1 = 3 u	4x1 = 4 u
Change 2	Market L	+ 36	+ 29
After 2	Market L	3 u + 36	4 u + 29

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

The number of oranges collected at Market J is repeated.  Make the number of oranges collected at Market J the same by multiplying 3 by 8. 
 
The number of starfruits and oranges in the end is the same.

4 u + 29 = 3 u + 36
4 u - 3 u = 36 - 29

1 u = 7

Number of starfruits on his lorry after collecting from Market L
= 3 u + 36
= 3 x 7 + 36
= 21 + 36
= 57

Number of fruits on his lorry after collecting from Market L
= 2 x 57 
= 114 

(b)
Number of starfruits delivered to Market K
= 8 u - 3 u
= 5 u
= 5 x 7
= 35

Answer(s): (a) 114; (b) 35