Glen had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall D and the ratio of chikoos to pomegranates was 1 : 4. When he reached Stall E, he unloaded ⁷₈ of the pomegranates and some chikoos from his lorry. The ratio of chikoos to pomegranates became 3 : 4. At Stall F, 36 chikoos and 21 pomegranates were collected and the number of chikoos to pomegranates became the same.

1. How many fruits were there on his lorry after visiting Stall F?
2. How many chikoos were delivered to Stall E?

	Location	Chikoos	Pomegranates
Comparing chikoos and pomegranates at first	Stall D	1x8 = 8 u	4x8 = 32 u
Before 1	Stall D	8 u	8x4 = 32 u
Change 1	Stall E	- ?	- 7x4 = - 28 u
After 1	Stall F	3 u	1x4 = 4 u
Before 2	Stall F	3x1 = 3 u	4x1 = 4 u
Change 2	Stall F	+ 36	+ 21
After 2	Stall F	3 u + 36	4 u + 21

(a)
The number of pomegranates after unloading at Stall E is repeated.  Make the number of pomegranates left after unloading at Stall E the same.  LCM of 4 and 1 is 4.

The number of pomegranates collected at Stall D is repeated.  Make the number of pomegranates collected at Stall D the same by multiplying 4 by 8. 
 
The number of chikoos and pomegranates in the end is the same.

4 u + 21 = 3 u + 36
4 u - 3 u = 36 - 21

1 u = 15

Number of chikoos on his lorry after collecting from Stall F
= 3 u + 36
= 3 x 15 + 36
= 45 + 36
= 81

Number of fruits on his lorry after collecting from Stall F
= 2 x 81 
= 162 

(b)
Number of chikoos delivered to Stall E
= 8 u - 3 u
= 5 u
= 5 x 15
= 75

Answer(s): (a) 162; (b) 75