Daniel had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart W and the ratio of pomegranates to pears was 3 : 4. When he reached Mart X, he unloaded ³₄ of the pears and some pomegranates from his van. The ratio of pomegranates to pears became 1 : 2. At Mart Y, 56 pomegranates and 50 pears were collected and the number of pomegranates to pears became the same.

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

	Location	Pomegranates	Pears
Comparing pomegranates and pears at first	Mart W	3x2 = 6 u	4x2 = 8 u
Before 1	Mart W	6 u	4x2 = 8 u
Change 1	Mart X	- ?	- 3x2 = - 6 u
After 1	Mart Y	1 u	1x2 = 2 u
Before 2	Mart Y	1x1 = 1 u	2x1 = 2 u
Change 2	Mart Y	+ 56	+ 50
After 2	Mart Y	1 u + 56	2 u + 50

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

The number of pears collected at Mart W is repeated.  Make the number of pears collected at Mart W the same by multiplying 4 by 2. 
 
The number of pomegranates and pears in the end is the same.

2 u + 50 = 1 u + 56
2 u - 1 u = 56 - 50

1 u = 6

Number of pomegranates on his van after collecting from Mart Y
= 1 u + 56
= 1 x 6 + 56
= 6 + 56
= 62

Number of fruits on his van after collecting from Mart Y
= 2 x 62 
= 124 

(b)
Number of pomegranates delivered to Mart X
= 6 u - 1 u
= 5 u
= 5 x 6
= 30

Answer(s): (a) 124; (b) 30