Glen had 88 passion fruits and 160 mangosteens at first. He used ⁴₁₁ of the passion fruits and ³₅ of the mangosteens. He then bought some more mangosteens. In the end, ¹₃ of the fruits he had left were passion fruits. How many mangosteens did he buy?

	Passion Fruits	Mangosteens	Total
Before	88	160
Change 1	- 32	- 96
After 1	56	64
Change 2		+ some
After 2	1 u	2 u	3 u

Number of passion fruits that Glen used
= ⁴₁₁ x 88
= 32

Number of passion fruits that Glen had left
= 88 - 32
= 56

Number of mangosteens that Glen used
= ³₅ x 160
= 96

Number of mangosteens that Glen had left
= 160 - 96
= 64

Fraction of the fruits left that were mangosteens
= 1 - ¹₃
= ²₃

Number of passion fruits left = 1 u = 56

Number of mangosteens left in the end
= 2 u
= 2 x 56
= 112

Number of mangosteens that Glen bought
= 112 - 64
= 48

Answer(s): 48