Xavier had 162 passion fruits and 136 starfruits at first. He used ⁵₆ of the passion fruits and ⁵₈ of the starfruits. He then bought some more starfruits. In the end, ¹₅ of the fruits he had left were passion fruits. How many starfruits did he buy?

	Passion Fruits	Starfruits	Total
Before	162	136
Change 1	- 135	- 85
After 1	27	51
Change 2		+ some
After 2	1 u	4 u	5 u

Number of passion fruits that Xavier used
= ⁵₆ x 162
= 135

Number of passion fruits that Xavier had left
= 162 - 135
= 27

Number of starfruits that Xavier used
= ⁵₈ x 136
= 85

Number of starfruits that Xavier had left
= 136 - 85
= 51

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

Number of passion fruits left = 1 u = 27

Number of starfruits left in the end
= 4 u
= 4 x 27
= 108

Number of starfruits that Xavier bought
= 108 - 51
= 57

Answer(s): 57