Rael had 110 mangosteens and 170 passion fruits at first. He used ⁴₁₁ of the mangosteens and ⁷₁₀ of the passion fruits. He then bought some more passion fruits. In the end, ¹₆ of the fruits he had left were mangosteens. How many passion fruits did he buy?

	Mangosteens	Passion Fruits	Total
Before	110	170
Change 1	- 40	- 119
After 1	70	51
Change 2		+ some
After 2	1 u	5 u	6 u

Number of mangosteens that Rael used
= ⁴₁₁ x 110
= 40

Number of mangosteens that Rael had left
= 110 - 40
= 70

Number of passion fruits that Rael used
= ⁷₁₀ x 170
= 119

Number of passion fruits that Rael had left
= 170 - 119
= 51

Fraction of the fruits left that were passion fruits
= 1 - ¹₆
= ⁵₆

Number of mangosteens left = 1 u = 70

Number of passion fruits left in the end
= 5 u
= 5 x 70
= 350

Number of passion fruits that Rael bought
= 350 - 51
= 299

Answer(s): 299