Cole had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market G and the ratio of passion fruits to chikoos was 2 : 5. When he reached Market H, he unloaded ⁹₁₀ of the chikoos and some passion fruits from his vehicle. The ratio of passion fruits to chikoos became 3 : 4. At Market J, 33 passion fruits and 29 chikoos were collected and the number of passion fruits to chikoos became the same.

1. How many fruits were there on his vehicle after visiting Market J?
2. How many passion fruits were delivered to Market H?

	Location	Passion Fruits	Chikoos
Comparing passion fruits and chikoos at first	Market G	2x8 = 16 u	5x8 = 40 u
Before 1	Market G	16 u	10x4 = 40 u
Change 1	Market H	- ?	- 9x4 = - 36 u
After 1	Market J	3 u	1x4 = 4 u
Before 2	Market J	3x1 = 3 u	4x1 = 4 u
Change 2	Market J	+ 33	+ 29
After 2	Market J	3 u + 33	4 u + 29

(a)
The number of chikoos after unloading at Market H is repeated.  Make the number of chikoos left after unloading at Market H the same.  LCM of 4 and 1 is 4.

The number of chikoos collected at Market G is repeated.  Make the number of chikoos collected at Market G the same by multiplying 5 by 8. 
 
The number of passion fruits and chikoos in the end is the same.

4 u + 29 = 3 u + 33
4 u - 3 u = 33 - 29

1 u = 4

Number of passion fruits on his vehicle after collecting from Market J
= 3 u + 33
= 3 x 4 + 33
= 12 + 33
= 45

Number of fruits on his vehicle after collecting from Market J
= 2 x 45 
= 90 

(b)
Number of passion fruits delivered to Market H
= 16 u - 3 u
= 13 u
= 13 x 4
= 52

Answer(s): (a) 90; (b) 52