Bobby had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market C and the ratio of chikoos to pears was 2 : 3. When he reached Market D, he unloaded ⁷₈ of the pears and some chikoos from his vehicle. The ratio of chikoos to pears became 2 : 3. At Market E, 29 chikoos and 12 pears were collected and the number of chikoos to pears became the same.

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

	Location	Chikoos	Pears
Comparing chikoos and pears at first	Market C	2x8 = 16 u	3x8 = 24 u
Before 1	Market C	16 u	8x3 = 24 u
Change 1	Market D	- ?	- 7x3 = - 21 u
After 1	Market E	2 u	1x3 = 3 u
Before 2	Market E	2x1 = 2 u	3x1 = 3 u
Change 2	Market E	+ 29	+ 12
After 2	Market E	2 u + 29	3 u + 12

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

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

3 u + 12 = 2 u + 29
3 u - 2 u = 29 - 12

1 u = 17

Number of chikoos on his vehicle after collecting from Market E
= 2 u + 29
= 2 x 17 + 29
= 34 + 29
= 63

Number of fruits on his vehicle after collecting from Market E
= 2 x 63 
= 126 

(b)
Number of chikoos delivered to Market D
= 16 u - 2 u
= 14 u
= 14 x 17
= 238

Answer(s): (a) 126; (b) 238