Tom had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall K and the ratio of chikoos to pears was 3 : 10. When he reached Stall L, he unloaded ⁹₁₀ of the pears and some chikoos from his van. The ratio of chikoos to pears became 1 : 2. At Stall M, 59 chikoos and 47 pears were collected and the number of chikoos to pears became the same.

1. How many fruits were there on his van after visiting Stall M?
2. How many chikoos were delivered to Stall L?

	Location	Chikoos	Pears
Comparing chikoos and pears at first	Stall K	3x2 = 6 u	10x2 = 20 u
Before 1	Stall K	6 u	10x2 = 20 u
Change 1	Stall L	- ?	- 9x2 = - 18 u
After 1	Stall M	1 u	1x2 = 2 u
Before 2	Stall M	1x1 = 1 u	2x1 = 2 u
Change 2	Stall M	+ 59	+ 47
After 2	Stall M	1 u + 59	2 u + 47

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

The number of pears collected at Stall K is repeated.  Make the number of pears collected at Stall K the same by multiplying 10 by 2. 
 
The number of chikoos and pears in the end is the same.

2 u + 47 = 1 u + 59
2 u - 1 u = 59 - 47

1 u = 12

Number of chikoos on his van after collecting from Stall M
= 1 u + 59
= 1 x 12 + 59
= 12 + 59
= 71

Number of fruits on his van after collecting from Stall M
= 2 x 71 
= 142 

(b)
Number of chikoos delivered to Stall L
= 6 u - 1 u
= 5 u
= 5 x 12
= 60

Answer(s): (a) 142; (b) 60