Cody bought some pomegranates and passion fruits in the ratio of 2 : 5 . After buying another 88 fruits each, the ratio becomes 8 : 9. Find the number of pomegranates and passion fruits he has now.

	Pomegranates	Passion Fruits	Difference
Before	2x1 = 2 u	5x1 = 5 u	3x1 = 3 u
Change	+ 88	+ 88
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 pomegranates and passion fruits at first and in the end remains unchanged. 

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

Increase in the number of pomegranates
= 24 u - 2 u
= 22 u

22 u = 88

1 u = 88 ÷ 22 = 4

Number of passion fruits and pomegranates that $(Fred) has now
= 24 u + 27 u
= 51 u
= 51 x 4
= 204

Answer(s): 204