Oliver had 176 pomegranates and 144 persimmons at first. He used ⁴₁₁ of the pomegranates and ⁷₉ of the persimmons. He then bought some more persimmons. In the end, ¹₆ of the fruits he had left were pomegranates. How many persimmons did he buy?

	Pomegranates	Persimmons	Total
Before	176	144
Change 1	- 64	- 112
After 1	112	32
Change 2		+ some
After 2	1 u	5 u	6 u

Number of pomegranates that Oliver used
= ⁴₁₁ x 176
= 64

Number of pomegranates that Oliver had left
= 176 - 64
= 112

Number of persimmons that Oliver used
= ⁷₉ x 144
= 112

Number of persimmons that Oliver had left
= 144 - 112
= 32

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

Number of pomegranates left = 1 u = 112

Number of persimmons left in the end
= 5 u
= 5 x 112
= 560

Number of persimmons that Oliver bought
= 560 - 32
= 528

Answer(s): 528