Eric had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall A and the ratio of chikoos to starfruits was 1 : 2. When he reached Stall B, he unloaded ⁷₈ of the starfruits and some chikoos from his lorry. The ratio of chikoos to starfruits became 2 : 3. At Stall C, 45 chikoos and 38 starfruits were collected and the number of chikoos to starfruits became the same.

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

	Location	Chikoos	Starfruits
Comparing chikoos and starfruits at first	Stall A	1x12 = 12 u	2x12 = 24 u
Before 1	Stall A	12 u	8x3 = 24 u
Change 1	Stall B	- ?	- 7x3 = - 21 u
After 1	Stall C	2 u	1x3 = 3 u
Before 2	Stall C	2x1 = 2 u	3x1 = 3 u
Change 2	Stall C	+ 45	+ 38
After 2	Stall C	2 u + 45	3 u + 38

(a)
The number of starfruits after unloading at Stall B is repeated.  Make the number of starfruits left after unloading at Stall B the same.  LCM of 3 and 1 is 3.

The number of starfruits collected at Stall A is repeated.  Make the number of starfruits collected at Stall A the same by multiplying 2 by 12. 
 
The number of chikoos and starfruits in the end is the same.

3 u + 38 = 2 u + 45
3 u - 2 u = 45 - 38

1 u = 7

Number of chikoos on his lorry after collecting from Stall C
= 2 u + 45
= 2 x 7 + 45
= 14 + 45
= 59

Number of fruits on his lorry after collecting from Stall C
= 2 x 59 
= 118 

(b)
Number of chikoos delivered to Stall B
= 12 u - 2 u
= 10 u
= 10 x 7
= 70

Answer(s): (a) 118; (b) 70