Ken had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart V and the ratio of oranges to passion fruits was 7 : 8. When he reached Mart W, he unloaded ⁷₈ of the passion fruits and some oranges from his van. The ratio of oranges to passion fruits became 1 : 2. At Mart X, 48 oranges and 28 passion fruits were collected and the number of oranges to passion fruits became the same.

1. How many fruits were there on his van after visiting Mart X?
2. How many oranges were delivered to Mart W?

	Location	Oranges	Passion Fruits
Comparing oranges and passion fruits at first	Mart V	7x2 = 14 u	8x2 = 16 u
Before 1	Mart V	14 u	8x2 = 16 u
Change 1	Mart W	- ?	- 7x2 = - 14 u
After 1	Mart X	1 u	1x2 = 2 u
Before 2	Mart X	1x1 = 1 u	2x1 = 2 u
Change 2	Mart X	+ 48	+ 28
After 2	Mart X	1 u + 48	2 u + 28

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

The number of passion fruits collected at Mart V is repeated.  Make the number of passion fruits collected at Mart V the same by multiplying 8 by 2. 
 
The number of oranges and passion fruits in the end is the same.

2 u + 28 = 1 u + 48
2 u - 1 u = 48 - 28

1 u = 20

Number of oranges on his van after collecting from Mart X
= 1 u + 48
= 1 x 20 + 48
= 20 + 48
= 68

Number of fruits on his van after collecting from Mart X
= 2 x 68 
= 136 

(b)
Number of oranges delivered to Mart W
= 14 u - 1 u
= 13 u
= 13 x 20
= 260

Answer(s): (a) 136; (b) 260