Cole had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart D and the ratio of pomegranates to chikoos was 2 : 3. When he reached Mart E, he unloaded ⁵₆ of the chikoos and some pomegranates from his vehicle. The ratio of pomegranates to chikoos became 1 : 2. At Mart F, 22 pomegranates and 17 chikoos were collected and the number of pomegranates to chikoos became the same.

1. How many fruits were there on his vehicle after visiting Mart F?
2. How many pomegranates were delivered to Mart E?

	Location	Pomegranates	Chikoos
Comparing pomegranates and chikoos at first	Mart D	2x4 = 8 u	3x4 = 12 u
Before 1	Mart D	8 u	6x2 = 12 u
Change 1	Mart E	- ?	- 5x2 = - 10 u
After 1	Mart F	1 u	1x2 = 2 u
Before 2	Mart F	1x1 = 1 u	2x1 = 2 u
Change 2	Mart F	+ 22	+ 17
After 2	Mart F	1 u + 22	2 u + 17

(a)
The number of chikoos after unloading at Mart E is repeated.  Make the number of chikoos left after unloading at Mart E the same.  LCM of 2 and 1 is 2.

The number of chikoos collected at Mart D is repeated.  Make the number of chikoos collected at Mart D the same by multiplying 3 by 4. 
 
The number of pomegranates and chikoos in the end is the same.

2 u + 17 = 1 u + 22
2 u - 1 u = 22 - 17

1 u = 5

Number of pomegranates on his vehicle after collecting from Mart F
= 1 u + 22
= 1 x 5 + 22
= 5 + 22
= 27

Number of fruits on his vehicle after collecting from Mart F
= 2 x 27 
= 54 

(b)
Number of pomegranates delivered to Mart E
= 8 u - 1 u
= 7 u
= 7 x 5
= 35

Answer(s): (a) 54; (b) 35