Simon had 120 persimmons and 77 pomegranates at first. He used ³₅ of the persimmons and ⁵₁₁ of the pomegranates. He then bought some more pomegranates. In the end, ¹₉ of the fruits he had left were persimmons. How many pomegranates did he buy?

	Persimmons	Pomegranates	Total
Before	120	77
Change 1	- 72	- 35
After 1	48	42
Change 2		+ some
After 2	1 u	8 u	9 u

Number of persimmons that Simon used
= ³₅ x 120
= 72

Number of persimmons that Simon had left
= 120 - 72
= 48

Number of pomegranates that Simon used
= ⁵₁₁ x 77
= 35

Number of pomegranates that Simon had left
= 77 - 35
= 42

Fraction of the fruits left that were pomegranates
= 1 - ¹₉
= ⁸₉

Number of persimmons left = 1 u = 48

Number of pomegranates left in the end
= 8 u
= 8 x 48
= 384

Number of pomegranates that Simon bought
= 384 - 42
= 342

Answer(s): 342