Daniel had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart L and the ratio of kiwis to pomegranates was 3 : 4. When he reached Mart M, he unloaded ⁵₆ of the pomegranates and some kiwis from his lorry. The ratio of kiwis to pomegranates became 1 : 2. At Mart N, 59 kiwis and 50 pomegranates were collected and the number of kiwis to pomegranates became the same.

1. How many fruits were there on his lorry after visiting Mart N?
2. How many kiwis were delivered to Mart M?

	Location	Kiwis	Pomegranates
Comparing kiwis and pomegranates at first	Mart L	3x3 = 9 u	4x3 = 12 u
Before 1	Mart L	9 u	6x2 = 12 u
Change 1	Mart M	- ?	- 5x2 = - 10 u
After 1	Mart N	1 u	1x2 = 2 u
Before 2	Mart N	1x1 = 1 u	2x1 = 2 u
Change 2	Mart N	+ 59	+ 50
After 2	Mart N	1 u + 59	2 u + 50

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

The number of pomegranates collected at Mart L is repeated.  Make the number of pomegranates collected at Mart L the same by multiplying 4 by 3. 
 
The number of kiwis and pomegranates in the end is the same.

2 u + 50 = 1 u + 59
2 u - 1 u = 59 - 50

1 u = 9

Number of kiwis on his lorry after collecting from Mart N
= 1 u + 59
= 1 x 9 + 59
= 9 + 59
= 68

Number of fruits on his lorry after collecting from Mart N
= 2 x 68 
= 136 

(b)
Number of kiwis delivered to Mart M
= 9 u - 1 u
= 8 u
= 8 x 9
= 72

Answer(s): (a) 136; (b) 72