Andy had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market C and the ratio of apples to starfruits was 1 : 3. When he reached Market D, he unloaded ⁵₆ of the starfruits and some apples from his lorry. The ratio of apples to starfruits became 3 : 4. At Market E, 33 apples and 26 starfruits were collected and the number of apples to starfruits became the same.

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

	Location	Apples	Starfruits
Comparing apples and starfruits at first	Market C	1x8 = 8 u	3x8 = 24 u
Before 1	Market C	8 u	6x4 = 24 u
Change 1	Market D	- ?	- 5x4 = - 20 u
After 1	Market E	3 u	1x4 = 4 u
Before 2	Market E	3x1 = 3 u	4x1 = 4 u
Change 2	Market E	+ 33	+ 26
After 2	Market E	3 u + 33	4 u + 26

(a)
The number of starfruits after unloading at Market D is repeated.  Make the number of starfruits left after unloading at Market D the same.  LCM of 4 and 1 is 4.

The number of starfruits collected at Market C is repeated.  Make the number of starfruits collected at Market C the same by multiplying 3 by 8. 
 
The number of apples and starfruits in the end is the same.

4 u + 26 = 3 u + 33
4 u - 3 u = 33 - 26

1 u = 7

Number of apples on his lorry after collecting from Market E
= 3 u + 33
= 3 x 7 + 33
= 21 + 33
= 54

Number of fruits on his lorry after collecting from Market E
= 2 x 54 
= 108 

(b)
Number of apples delivered to Market D
= 8 u - 3 u
= 5 u
= 5 x 7
= 35

Answer(s): (a) 108; (b) 35