Peter had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market W and the ratio of oranges to kiwis was 1 : 2. When he reached Market X, he unloaded ⁹₁₀ of the kiwis and some oranges from his vehicle. The ratio of oranges to kiwis became 1 : 2. At Market Y, 49 oranges and 40 kiwis were collected and the number of oranges to kiwis became the same.

1. How many fruits were there on his vehicle after visiting Market Y?
2. How many oranges were delivered to Market X?

	Location	Oranges	Kiwis
Comparing oranges and kiwis at first	Market W	1x10 = 10 u	2x10 = 20 u
Before 1	Market W	10 u	10x2 = 20 u
Change 1	Market X	- ?	- 9x2 = - 18 u
After 1	Market Y	1 u	1x2 = 2 u
Before 2	Market Y	1x1 = 1 u	2x1 = 2 u
Change 2	Market Y	+ 49	+ 40
After 2	Market Y	1 u + 49	2 u + 40

(a)
The number of kiwis after unloading at Market X is repeated.  Make the number of kiwis left after unloading at Market X the same.  LCM of 2 and 1 is 2.

The number of kiwis collected at Market W is repeated.  Make the number of kiwis collected at Market W the same by multiplying 2 by 10. 
 
The number of oranges and kiwis in the end is the same.

2 u + 40 = 1 u + 49
2 u - 1 u = 49 - 40

1 u = 9

Number of oranges on his vehicle after collecting from Market Y
= 1 u + 49
= 1 x 9 + 49
= 9 + 49
= 58

Number of fruits on his vehicle after collecting from Market Y
= 2 x 58 
= 116 

(b)
Number of oranges delivered to Market X
= 10 u - 1 u
= 9 u
= 9 x 9
= 81

Answer(s): (a) 116; (b) 81