Perry had a total of 251 passion fruits and persimmons. He sold ¹₂ of the persimmons and bought another 24 passion fruits. In the end, the number of passion fruits he had was ¹₅ the number of persimmons. How many more persimmons than passion fruits did he have at first?

	Passion Fruits	Persimmons	Total
Before	1 u - 24	2x5 = 10 u	251
Change	+ 24	- 1x5 = 5 u
After		1x5 = 5 u
Comparing between passion fruits and persimmons	1x1 = 1 u	5x1 = 5 u

The number of persimmons in the end is repeated. Make the number of persimmons in the end the same. LCM of 1 and 5 is 5.

Total number of passion fruits and persimmons at first
= 1 u - 24 + 10 u
= 11 u - 24

11 u - 24 = 251
11 u = 251 + 24
11 u = 275

1 u = 275 ÷ 11 = 25

Number of more persimmons than passion fruits at first
= 10 u - (1 u - 24)
= 10 u - 1 u + 24
= 9 u + 24
= 9 x 25 + 24
= 225 + 24
= 249

Answer(s): 249