Julian had a total of 498 persimmons and passion fruits. He sold ³₄ of the passion fruits and bought another 12 persimmons. In the end, the number of persimmons he had was ¹₄ the number of passion fruits. How many more passion fruits than persimmons did he have at first?

	Persimmons	Passion Fruits	Total
Before	1 u - 12	4x4 = 16 u	498
Change	+ 12	- 3x4 = 12 u
After		1x4 = 4 u
Comparing between persimmons and passion fruits	1x1 = 1 u	4x1 = 4 u

The number of passion fruits in the end is repeated. Make the number of passion fruits in the end the same. LCM of 1 and 4 is 4.

Total number of persimmons and passion fruits at first
= 1 u - 12 + 16 u
= 17 u - 12

17 u - 12 = 498
17 u = 498 + 12
17 u = 510

1 u = 510 ÷ 17 = 30

Number of more passion fruits than persimmons at first
= 16 u - (1 u - 12)
= 16 u - 1 u + 12
= 15 u + 12
= 15 x 30 + 12
= 450 + 12
= 462

Answer(s): 462