Howard bought some dragonfruits and passion fruits in the ratio of 1 : 4 . After buying another 190 fruits each, the ratio becomes 7 : 9. Find the number of dragonfruits and passion fruits he has now.

	Dragonfruits	Passion Fruits	Difference
Before	1x2 = 2 u	4x2 = 8 u	3x2 = 6 u
Change	+ 190	+ 190
After	7x3 = 21 u	9x3 = 27 u	2x3 = 6 u

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

Make the difference in the number of dragonfruits and passion fruits the same. LCM of 3 and 2 is 6.

Increase in the number of dragonfruits
= 21 u - 2 u
= 19 u

19 u = 190

1 u = 190 ÷ 19 = 10

Number of passion fruits and dragonfruits that $(Fred) has now
= 21 u + 27 u
= 48 u
= 48 x 10
= 480

Answer(s): 480