Perry had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart C and the ratio of chikoos to starfruits was 2 : 3. When he reached Mart D, he unloaded ³₄ of the starfruits and some chikoos from his van. The ratio of chikoos to starfruits became 2 : 3. At Mart E, 41 chikoos and 22 starfruits were collected and the number of chikoos to starfruits became the same.

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

	Location	Chikoos	Starfruits
Comparing chikoos and starfruits at first	Mart C	2x4 = 8 u	3x4 = 12 u
Before 1	Mart C	8 u	4x3 = 12 u
Change 1	Mart D	- ?	- 3x3 = - 9 u
After 1	Mart E	2 u	1x3 = 3 u
Before 2	Mart E	2x1 = 2 u	3x1 = 3 u
Change 2	Mart E	+ 41	+ 22
After 2	Mart E	2 u + 41	3 u + 22

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

The number of starfruits collected at Mart C is repeated.  Make the number of starfruits collected at Mart C the same by multiplying 3 by 4. 
 
The number of chikoos and starfruits in the end is the same.

3 u + 22 = 2 u + 41
3 u - 2 u = 41 - 22

1 u = 19

Number of chikoos on his van after collecting from Mart E
= 2 u + 41
= 2 x 19 + 41
= 38 + 41
= 79

Number of fruits on his van after collecting from Mart E
= 2 x 79 
= 158 

(b)
Number of chikoos delivered to Mart D
= 8 u - 2 u
= 6 u
= 6 x 19
= 114

Answer(s): (a) 158; (b) 114