Jenson bought some passion fruits and starfruits in the ratio of 1 : 4 . After buying another 161 fruits each, the ratio becomes 8 : 9. Find the number of passion fruits and starfruits he has now.

	Passion Fruits	Starfruits	Difference
Before	1x1 = 1 u	4x1 = 4 u	3x1 = 3 u
Change	+ 161	+ 161
After	8x3 = 24 u	9x3 = 27 u	1x3 = 3 u

Since the same number of fruits bought for each type of fruits is the same, the difference in the number of passion fruits and starfruits at first and in the end remains unchanged. 

Make the difference in the number of passion fruits and starfruits the same. LCM of 3 and 1 is 3.

Increase in the number of passion fruits
= 24 u - 1 u
= 23 u

23 u = 161

1 u = 161 ÷ 23 = 7

Number of starfruits and passion fruits that $(Fred) has now
= 24 u + 27 u
= 51 u
= 51 x 7
= 357

Answer(s): 357