Howard had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market B and the ratio of pears to chikoos was 1 : 2. When he reached Market C, he unloaded ¹¹₁₂ of the chikoos and some pears from his van. The ratio of pears to chikoos became 1 : 2. At Market D, 45 pears and 29 chikoos were collected and the number of pears to chikoos became the same.

1. How many fruits were there on his van after visiting Market D?
2. How many pears were delivered to Market C?

	Location	Pears	Chikoos
Comparing pears and chikoos at first	Market B	1x12 = 12 u	2x12 = 24 u
Before 1	Market B	12 u	12x2 = 24 u
Change 1	Market C	- ?	- 11x2 = - 22 u
After 1	Market D	1 u	1x2 = 2 u
Before 2	Market D	1x1 = 1 u	2x1 = 2 u
Change 2	Market D	+ 45	+ 29
After 2	Market D	1 u + 45	2 u + 29

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

The number of chikoos collected at Market B is repeated.  Make the number of chikoos collected at Market B the same by multiplying 2 by 12. 
 
The number of pears and chikoos in the end is the same.

2 u + 29 = 1 u + 45
2 u - 1 u = 45 - 29

1 u = 16

Number of pears on his van after collecting from Market D
= 1 u + 45
= 1 x 16 + 45
= 16 + 45
= 61

Number of fruits on his van after collecting from Market D
= 2 x 61 
= 122 

(b)
Number of pears delivered to Market C
= 12 u - 1 u
= 11 u
= 11 x 16
= 176

Answer(s): (a) 122; (b) 176