Seth had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market M and the ratio of chikoos to oranges was 1 : 4. When he reached Market N, he unloaded ⁵₆ of the oranges and some chikoos from his van. The ratio of chikoos to oranges became 3 : 4. At Market P, 60 chikoos and 45 oranges were collected and the number of chikoos to oranges became the same.

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

	Location	Chikoos	Oranges
Comparing chikoos and oranges at first	Market M	1x6 = 6 u	4x6 = 24 u
Before 1	Market M	6 u	6x4 = 24 u
Change 1	Market N	- ?	- 5x4 = - 20 u
After 1	Market P	3 u	1x4 = 4 u
Before 2	Market P	3x1 = 3 u	4x1 = 4 u
Change 2	Market P	+ 60	+ 45
After 2	Market P	3 u + 60	4 u + 45

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

The number of oranges collected at Market M is repeated.  Make the number of oranges collected at Market M the same by multiplying 4 by 6. 
 
The number of chikoos and oranges in the end is the same.

4 u + 45 = 3 u + 60
4 u - 3 u = 60 - 45

1 u = 15

Number of chikoos on his van after collecting from Market P
= 3 u + 60
= 3 x 15 + 60
= 45 + 60
= 105

Number of fruits on his van after collecting from Market P
= 2 x 105 
= 210 

(b)
Number of chikoos delivered to Market N
= 6 u - 3 u
= 3 u
= 3 x 15
= 45

Answer(s): (a) 210; (b) 45