Paul had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market Q and the ratio of starfruits to kiwis was 5 : 8. When he reached Market R, he unloaded ⁷₈ of the kiwis and some starfruits from his vehicle. The ratio of starfruits to kiwis became 2 : 3. At Market S, 56 starfruits and 50 kiwis were collected and the number of starfruits to kiwis became the same.

1. How many fruits were there on his vehicle after visiting Market S?
2. How many starfruits were delivered to Market R?

	Location	Starfruits	Kiwis
Comparing starfruits and kiwis at first	Market Q	5x3 = 15 u	8x3 = 24 u
Before 1	Market Q	15 u	8x3 = 24 u
Change 1	Market R	- ?	- 7x3 = - 21 u
After 1	Market S	2 u	1x3 = 3 u
Before 2	Market S	2x1 = 2 u	3x1 = 3 u
Change 2	Market S	+ 56	+ 50
After 2	Market S	2 u + 56	3 u + 50

(a)
The number of kiwis after unloading at Market R is repeated.  Make the number of kiwis left after unloading at Market R the same.  LCM of 3 and 1 is 3.

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

3 u + 50 = 2 u + 56
3 u - 2 u = 56 - 50

1 u = 6

Number of starfruits on his vehicle after collecting from Market S
= 2 u + 56
= 2 x 6 + 56
= 12 + 56
= 68

Number of fruits on his vehicle after collecting from Market S
= 2 x 68 
= 136 

(b)
Number of starfruits delivered to Market R
= 15 u - 2 u
= 13 u
= 13 x 6
= 78

Answer(s): (a) 136; (b) 78