Seth had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall Q and the ratio of kiwis to chikoos was 5 : 8. When he reached Stall R, he unloaded ¹¹₁₂ of the chikoos and some kiwis from his vehicle. The ratio of kiwis to chikoos became 1 : 2. At Stall S, 45 kiwis and 42 chikoos were collected and the number of kiwis to chikoos became the same.

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

	Location	Kiwis	Chikoos
Comparing kiwis and chikoos at first	Stall Q	5x3 = 15 u	8x3 = 24 u
Before 1	Stall Q	15 u	12x2 = 24 u
Change 1	Stall R	- ?	- 11x2 = - 22 u
After 1	Stall S	1 u	1x2 = 2 u
Before 2	Stall S	1x1 = 1 u	2x1 = 2 u
Change 2	Stall S	+ 45	+ 42
After 2	Stall S	1 u + 45	2 u + 42

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

The number of chikoos collected at Stall Q is repeated.  Make the number of chikoos collected at Stall Q the same by multiplying 8 by 3. 
 
The number of kiwis and chikoos in the end is the same.

2 u + 42 = 1 u + 45
2 u - 1 u = 45 - 42

1 u = 3

Number of kiwis on his vehicle after collecting from Stall S
= 1 u + 45
= 1 x 3 + 45
= 3 + 45
= 48

Number of fruits on his vehicle after collecting from Stall S
= 2 x 48 
= 96 

(b)
Number of kiwis delivered to Stall R
= 15 u - 1 u
= 14 u
= 14 x 3
= 42

Answer(s): (a) 96; (b) 42