Rael had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market U and the ratio of apples to pears was 1 : 2. When he reached Market V, he unloaded ⁹₁₀ of the pears and some apples from his lorry. The ratio of apples to pears became 2 : 3. At Market W, 52 apples and 47 pears were collected and the number of apples to pears became the same.

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

	Location	Apples	Pears
Comparing apples and pears at first	Market U	1x15 = 15 u	2x15 = 30 u
Before 1	Market U	15 u	10x3 = 30 u
Change 1	Market V	- ?	- 9x3 = - 27 u
After 1	Market W	2 u	1x3 = 3 u
Before 2	Market W	2x1 = 2 u	3x1 = 3 u
Change 2	Market W	+ 52	+ 47
After 2	Market W	2 u + 52	3 u + 47

(a)
The number of pears after unloading at Market V is repeated.  Make the number of pears left after unloading at Market V the same.  LCM of 3 and 1 is 3.

The number of pears collected at Market U is repeated.  Make the number of pears collected at Market U the same by multiplying 2 by 15. 
 
The number of apples and pears in the end is the same.

3 u + 47 = 2 u + 52
3 u - 2 u = 52 - 47

1 u = 5

Number of apples on his lorry after collecting from Market W
= 2 u + 52
= 2 x 5 + 52
= 10 + 52
= 62

Number of fruits on his lorry after collecting from Market W
= 2 x 62 
= 124 

(b)
Number of apples delivered to Market V
= 15 u - 2 u
= 13 u
= 13 x 5
= 65

Answer(s): (a) 124; (b) 65