Caden had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall Q and the ratio of chikoos to persimmons was 3 : 4. When he reached Stall R, he unloaded ⁷₈ of the persimmons and some chikoos from his lorry. The ratio of chikoos to persimmons became 1 : 2. At Stall S, 35 chikoos and 24 persimmons were collected and the number of chikoos to persimmons became the same.

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

	Location	Chikoos	Persimmons
Comparing chikoos and persimmons at first	Stall Q	3x4 = 12 u	4x4 = 16 u
Before 1	Stall Q	12 u	8x2 = 16 u
Change 1	Stall R	- ?	- 7x2 = - 14 u
After 1	Stall S	1 u	1x2 = 2 u
Before 2	Stall S	1x1 = 1 u	2x1 = 2 u
Change 2	Stall S	+ 35	+ 24
After 2	Stall S	1 u + 35	2 u + 24

(a)
The number of persimmons after unloading at Stall R is repeated.  Make the number of persimmons left after unloading at Stall R the same.  LCM of 2 and 1 is 2.

The number of persimmons collected at Stall Q is repeated.  Make the number of persimmons collected at Stall Q the same by multiplying 4 by 4. 
 
The number of chikoos and persimmons in the end is the same.

2 u + 24 = 1 u + 35
2 u - 1 u = 35 - 24

1 u = 11

Number of chikoos on his lorry after collecting from Stall S
= 1 u + 35
= 1 x 11 + 35
= 11 + 35
= 46

Number of fruits on his lorry after collecting from Stall S
= 2 x 46 
= 92 

(b)
Number of chikoos delivered to Stall R
= 12 u - 1 u
= 11 u
= 11 x 11
= 121

Answer(s): (a) 92; (b) 121