Ivan had 147 mangosteens and 110 passion fruits at first. He used ⁴₇ of the mangosteens and ³₅ of the passion fruits. He then bought some more passion fruits. In the end, ¹₂ of the fruits he had left were mangosteens. How many passion fruits did he buy?

	Mangosteens	Passion Fruits	Total
Before	147	110
Change 1	- 84	- 66
After 1	63	44
Change 2		+ some
After 2	1 u	1 u	2 u

Number of mangosteens that Ivan used
= ⁴₇ x 147
= 84

Number of mangosteens that Ivan had left
= 147 - 84
= 63

Number of passion fruits that Ivan used
= ³₅ x 110
= 66

Number of passion fruits that Ivan had left
= 110 - 66
= 44

Fraction of the fruits left that were passion fruits
= 1 - ¹₂
= ¹₂

Number of mangosteens left = 1 u = 63

Number of passion fruits left in the end
= 1 u
= 1 x 63
= 63

Number of passion fruits that Ivan bought
= 63 - 44
= 19

Answer(s): 19