Jeremy had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart E and the ratio of starfruits to chikoos was 1 : 2. When he reached Mart F, he unloaded ⁹₁₀ of the chikoos and some starfruits from his vehicle. The ratio of starfruits to chikoos became 1 : 2. At Mart G, 49 starfruits and 35 chikoos were collected and the number of starfruits to chikoos became the same.

1. How many fruits were there on his vehicle after visiting Mart G?
2. How many starfruits were delivered to Mart F?

	Location	Starfruits	Chikoos
Comparing starfruits and chikoos at first	Mart E	1x10 = 10 u	2x10 = 20 u
Before 1	Mart E	10 u	10x2 = 20 u
Change 1	Mart F	- ?	- 9x2 = - 18 u
After 1	Mart G	1 u	1x2 = 2 u
Before 2	Mart G	1x1 = 1 u	2x1 = 2 u
Change 2	Mart G	+ 49	+ 35
After 2	Mart G	1 u + 49	2 u + 35

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

The number of chikoos collected at Mart E is repeated.  Make the number of chikoos collected at Mart E the same by multiplying 2 by 10. 
 
The number of starfruits and chikoos in the end is the same.

2 u + 35 = 1 u + 49
2 u - 1 u = 49 - 35

1 u = 14

Number of starfruits on his vehicle after collecting from Mart G
= 1 u + 49
= 1 x 14 + 49
= 14 + 49
= 63

Number of fruits on his vehicle after collecting from Mart G
= 2 x 63 
= 126 

(b)
Number of starfruits delivered to Mart F
= 10 u - 1 u
= 9 u
= 9 x 14
= 126

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