Rael had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market N and the ratio of chikoos to kiwis was 1 : 2. When he reached Market P, he unloaded ⁷₈ of the kiwis and some chikoos from his van. The ratio of chikoos to kiwis became 1 : 2. At Market Q, 52 chikoos and 37 kiwis were collected and the number of chikoos to kiwis became the same.

1. How many fruits were there on his van after visiting Market Q?
2. How many chikoos were delivered to Market P?

	Location	Chikoos	Kiwis
Comparing chikoos and kiwis at first	Market N	1x8 = 8 u	2x8 = 16 u
Before 1	Market N	8 u	8x2 = 16 u
Change 1	Market P	- ?	- 7x2 = - 14 u
After 1	Market Q	1 u	1x2 = 2 u
Before 2	Market Q	1x1 = 1 u	2x1 = 2 u
Change 2	Market Q	+ 52	+ 37
After 2	Market Q	1 u + 52	2 u + 37

(a)
The number of kiwis after unloading at Market P is repeated.  Make the number of kiwis left after unloading at Market P the same.  LCM of 2 and 1 is 2.

The number of kiwis collected at Market N is repeated.  Make the number of kiwis collected at Market N the same by multiplying 2 by 8. 
 
The number of chikoos and kiwis in the end is the same.

2 u + 37 = 1 u + 52
2 u - 1 u = 52 - 37

1 u = 15

Number of chikoos on his van after collecting from Market Q
= 1 u + 52
= 1 x 15 + 52
= 15 + 52
= 67

Number of fruits on his van after collecting from Market Q
= 2 x 67 
= 134 

(b)
Number of chikoos delivered to Market P
= 8 u - 1 u
= 7 u
= 7 x 15
= 105

Answer(s): (a) 134; (b) 105