Caden had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart K and the ratio of lemons to apples was 3 : 4. When he reached Mart L, he unloaded ³₄ of the apples and some lemons from his van. The ratio of lemons to apples became 1 : 2. At Mart M, 42 lemons and 27 apples were collected and the number of lemons to apples became the same.

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

	Location	Lemons	Apples
Comparing lemons and apples at first	Mart K	3x2 = 6 u	4x2 = 8 u
Before 1	Mart K	6 u	4x2 = 8 u
Change 1	Mart L	- ?	- 3x2 = - 6 u
After 1	Mart M	1 u	1x2 = 2 u
Before 2	Mart M	1x1 = 1 u	2x1 = 2 u
Change 2	Mart M	+ 42	+ 27
After 2	Mart M	1 u + 42	2 u + 27

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

The number of apples collected at Mart K is repeated.  Make the number of apples collected at Mart K the same by multiplying 4 by 2. 
 
The number of lemons and apples in the end is the same.

2 u + 27 = 1 u + 42
2 u - 1 u = 42 - 27

1 u = 15

Number of lemons on his van after collecting from Mart M
= 1 u + 42
= 1 x 15 + 42
= 15 + 42
= 57

Number of fruits on his van after collecting from Mart M
= 2 x 57 
= 114 

(b)
Number of lemons delivered to Mart L
= 6 u - 1 u
= 5 u
= 5 x 15
= 75

Answer(s): (a) 114; (b) 75