Flynn had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall X and the ratio of pomegranates to starfruits was 2 : 5. When he reached Stall Y, he unloaded ⁹₁₀ of the starfruits and some pomegranates from his vehicle. The ratio of pomegranates to starfruits became 3 : 4. At Stall Z, 39 pomegranates and 21 starfruits were collected and the number of pomegranates to starfruits became the same.

1. How many fruits were there on his vehicle after visiting Stall Z?
2. How many pomegranates were delivered to Stall Y?

	Location	Pomegranates	Starfruits
Comparing pomegranates and starfruits at first	Stall X	2x8 = 16 u	5x8 = 40 u
Before 1	Stall X	16 u	10x4 = 40 u
Change 1	Stall Y	- ?	- 9x4 = - 36 u
After 1	Stall Z	3 u	1x4 = 4 u
Before 2	Stall Z	3x1 = 3 u	4x1 = 4 u
Change 2	Stall Z	+ 39	+ 21
After 2	Stall Z	3 u + 39	4 u + 21

(a)
The number of starfruits after unloading at Stall Y is repeated.  Make the number of starfruits left after unloading at Stall Y the same.  LCM of 4 and 1 is 4.

The number of starfruits collected at Stall X is repeated.  Make the number of starfruits collected at Stall X the same by multiplying 5 by 8. 
 
The number of pomegranates and starfruits in the end is the same.

4 u + 21 = 3 u + 39
4 u - 3 u = 39 - 21

1 u = 18

Number of pomegranates on his vehicle after collecting from Stall Z
= 3 u + 39
= 3 x 18 + 39
= 54 + 39
= 93

Number of fruits on his vehicle after collecting from Stall Z
= 2 x 93 
= 186 

(b)
Number of pomegranates delivered to Stall Y
= 16 u - 3 u
= 13 u
= 13 x 18
= 234

Answer(s): (a) 186; (b) 234