Brandon had to collect some fruits from two shops and deliver some fruits to another shop. He collected from Shop C and the ratio of apples to kiwis was 1 : 3. When he reached Shop D, he unloaded ⁵₆ of the kiwis and some apples from his lorry. The ratio of apples to kiwis became 2 : 3. At Shop E, 57 apples and 43 kiwis were collected and the number of apples to kiwis became the same.

1. How many fruits were there on his lorry after visiting Shop E?
2. How many apples were delivered to Shop D?

	Location	Apples	Kiwis
Comparing apples and kiwis at first	Shop C	1x6 = 6 u	3x6 = 18 u
Before 1	Shop C	6 u	6x3 = 18 u
Change 1	Shop D	- ?	- 5x3 = - 15 u
After 1	Shop E	2 u	1x3 = 3 u
Before 2	Shop E	2x1 = 2 u	3x1 = 3 u
Change 2	Shop E	+ 57	+ 43
After 2	Shop E	2 u + 57	3 u + 43

(a)
The number of kiwis after unloading at Shop D is repeated.  Make the number of kiwis left after unloading at Shop D the same.  LCM of 3 and 1 is 3.

The number of kiwis collected at Shop C is repeated.  Make the number of kiwis collected at Shop C the same by multiplying 3 by 6. 
 
The number of apples and kiwis in the end is the same.

3 u + 43 = 2 u + 57
3 u - 2 u = 57 - 43

1 u = 14

Number of apples on his lorry after collecting from Shop E
= 2 u + 57
= 2 x 14 + 57
= 28 + 57
= 85

Number of fruits on his lorry after collecting from Shop E
= 2 x 85 
= 170 

(b)
Number of apples delivered to Shop D
= 6 u - 2 u
= 4 u
= 4 x 14
= 56

Answer(s): (a) 170; (b) 56