Howard had a total of 479 starfruits and passion fruits. He sold ¹₅ of the passion fruits and bought another 34 starfruits. In the end, the number of starfruits he had was ¹₃ the number of passion fruits. How many more passion fruits than starfruits did he have at first?

	Starfruits	Passion Fruits	Total
Before	4 u - 34	5x3 = 15 u	479
Change	+ 34	- 1x3 = 3 u
After		4x3 = 12 u
Comparing between starfruits and passion fruits	1x4 = 4 u	3x4 = 12 u

The number of passion fruits in the end is repeated. Make the number of passion fruits in the end the same. LCM of 4 and 3 is 12.

Total number of starfruits and passion fruits at first
= 4 u - 34 + 15 u
= 19 u - 34

19 u - 34 = 479
19 u = 479 + 34
19 u = 513

1 u = 513 ÷ 19 = 27

Number of more passion fruits than starfruits at first
= 15 u - (4 u - 34)
= 15 u - 4 u + 34
= 11 u + 34
= 11 x 27 + 34
= 297 + 34
= 331

Answer(s): 331