Albert had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart E and the ratio of kiwis to passion fruits was 1 : 2. When he reached Mart F, he unloaded ³₄ of the passion fruits and some kiwis from his lorry. The ratio of kiwis to passion fruits became 3 : 4. At Mart G, 41 kiwis and 35 passion fruits were collected and the number of kiwis to passion fruits became the same.

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

	Location	Kiwis	Passion Fruits
Comparing kiwis and passion fruits at first	Mart E	1x8 = 8 u	2x8 = 16 u
Before 1	Mart E	8 u	4x4 = 16 u
Change 1	Mart F	- ?	- 3x4 = - 12 u
After 1	Mart G	3 u	1x4 = 4 u
Before 2	Mart G	3x1 = 3 u	4x1 = 4 u
Change 2	Mart G	+ 41	+ 35
After 2	Mart G	3 u + 41	4 u + 35

(a)
The number of passion fruits after unloading at Mart F is repeated.  Make the number of passion fruits left after unloading at Mart F the same.  LCM of 4 and 1 is 4.

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

4 u + 35 = 3 u + 41
4 u - 3 u = 41 - 35

1 u = 6

Number of kiwis on his lorry after collecting from Mart G
= 3 u + 41
= 3 x 6 + 41
= 18 + 41
= 59

Number of fruits on his lorry after collecting from Mart G
= 2 x 59 
= 118 

(b)
Number of kiwis delivered to Mart F
= 8 u - 3 u
= 5 u
= 5 x 6
= 30

Answer(s): (a) 118; (b) 30