Sam had 110 starfruits and 108 passion fruits at first. He used ⁴₁₁ of the starfruits and ⁵₆ of the passion fruits. He then bought some more passion fruits. In the end, ¹₅ of the fruits he had left were starfruits. How many passion fruits did he buy?

	Starfruits	Passion Fruits	Total
Before	110	108
Change 1	- 40	- 90
After 1	70	18
Change 2		+ some
After 2	1 u	4 u	5 u

Number of starfruits that Sam used
= ⁴₁₁ x 110
= 40

Number of starfruits that Sam had left
= 110 - 40
= 70

Number of passion fruits that Sam used
= ⁵₆ x 108
= 90

Number of passion fruits that Sam had left
= 108 - 90
= 18

Fraction of the fruits left that were passion fruits
= 1 - ¹₅
= ⁴₅

Number of starfruits left = 1 u = 70

Number of passion fruits left in the end
= 4 u
= 4 x 70
= 280

Number of passion fruits that Sam bought
= 280 - 18
= 262

Answer(s): 262