Nick had 200 starfruits and 65 pomegranates at first. He used ⁴₅ of the starfruits and ³₅ of the pomegranates. He then bought some more pomegranates. In the end, ¹₇ of the fruits he had left were starfruits. How many pomegranates did he buy?

	Starfruits	Pomegranates	Total
Before	200	65
Change 1	- 160	- 39
After 1	40	26
Change 2		+ some
After 2	1 u	6 u	7 u

Number of starfruits that Nick used
= ⁴₅ x 200
= 160

Number of starfruits that Nick had left
= 200 - 160
= 40

Number of pomegranates that Nick used
= ³₅ x 65
= 39

Number of pomegranates that Nick had left
= 65 - 39
= 26

Fraction of the fruits left that were pomegranates
= 1 - ¹₇
= ⁶₇

Number of starfruits left = 1 u = 40

Number of pomegranates left in the end
= 6 u
= 6 x 40
= 240

Number of pomegranates that Nick bought
= 240 - 26
= 214

Answer(s): 214