Vaidev had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart J and the ratio of oranges to apples was 3 : 4. When he reached Mart K, he unloaded ⁷₈ of the apples and some oranges from his vehicle. The ratio of oranges to apples became 1 : 2. At Mart L, 47 oranges and 35 apples were collected and the number of oranges to apples became the same.

1. How many fruits were there on his vehicle after visiting Mart L?
2. How many oranges were delivered to Mart K?

	Location	Oranges	Apples
Comparing oranges and apples at first	Mart J	3x4 = 12 u	4x4 = 16 u
Before 1	Mart J	12 u	8x2 = 16 u
Change 1	Mart K	- ?	- 7x2 = - 14 u
After 1	Mart L	1 u	1x2 = 2 u
Before 2	Mart L	1x1 = 1 u	2x1 = 2 u
Change 2	Mart L	+ 47	+ 35
After 2	Mart L	1 u + 47	2 u + 35

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

The number of apples collected at Mart J is repeated.  Make the number of apples collected at Mart J the same by multiplying 4 by 4. 
 
The number of oranges and apples in the end is the same.

2 u + 35 = 1 u + 47
2 u - 1 u = 47 - 35

1 u = 12

Number of oranges on his vehicle after collecting from Mart L
= 1 u + 47
= 1 x 12 + 47
= 12 + 47
= 59

Number of fruits on his vehicle after collecting from Mart L
= 2 x 59 
= 118 

(b)
Number of oranges delivered to Mart K
= 12 u - 1 u
= 11 u
= 11 x 12
= 132

Answer(s): (a) 118; (b) 132