Mark had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market W and the ratio of kiwis to pears was 1 : 2. When he reached Market X, he unloaded ⁷₈ of the pears and some kiwis from his vehicle. The ratio of kiwis to pears became 1 : 2. At Market Y, 62 kiwis and 49 pears were collected and the number of kiwis to pears became the same.

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

	Location	Kiwis	Pears
Comparing kiwis and pears at first	Market W	1x8 = 8 u	2x8 = 16 u
Before 1	Market W	8 u	8x2 = 16 u
Change 1	Market X	- ?	- 7x2 = - 14 u
After 1	Market Y	1 u	1x2 = 2 u
Before 2	Market Y	1x1 = 1 u	2x1 = 2 u
Change 2	Market Y	+ 62	+ 49
After 2	Market Y	1 u + 62	2 u + 49

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

The number of pears collected at Market W is repeated.  Make the number of pears collected at Market W the same by multiplying 2 by 8. 
 
The number of kiwis and pears in the end is the same.

2 u + 49 = 1 u + 62
2 u - 1 u = 62 - 49

1 u = 13

Number of kiwis on his vehicle after collecting from Market Y
= 1 u + 62
= 1 x 13 + 62
= 13 + 62
= 75

Number of fruits on his vehicle after collecting from Market Y
= 2 x 75 
= 150 

(b)
Number of kiwis delivered to Market X
= 8 u - 1 u
= 7 u
= 7 x 13
= 91

Answer(s): (a) 150; (b) 91