Warren had a total of 178 passion fruits and mangosteens. He sold ¹₂ of the mangosteens and bought another 9 passion fruits. In the end, the number of passion fruits he had was ¹₅ the number of mangosteens. How many more mangosteens than passion fruits did he have at first?

	Passion Fruits	Mangosteens	Total
Before	1 u - 9	2x5 = 10 u	178
Change	+ 9	- 1x5 = 5 u
After		1x5 = 5 u
Comparing between passion fruits and mangosteens	1x1 = 1 u	5x1 = 5 u

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

Total number of passion fruits and mangosteens at first
= 1 u - 9 + 10 u
= 11 u - 9

11 u - 9 = 178
11 u = 178 + 9
11 u = 187

1 u = 187 ÷ 11 = 17

Number of more mangosteens than passion fruits at first
= 10 u - (1 u - 9)
= 10 u - 1 u + 9
= 9 u + 9
= 9 x 17 + 9
= 153 + 9
= 162

Answer(s): 162