Archie bought some passion fruits and mangosteens in the ratio of 1 : 5 . After buying another 130 fruits each, the ratio becomes 7 : 9. Find the number of passion fruits and mangosteens he has now.

	Passion Fruits	Mangosteens	Difference
Before	1x1 = 1 u	5x1 = 5 u	4x1 = 4 u
Change	+ 130	+ 130
After	7x2 = 14 u	9x2 = 18 u	2x2 = 4 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 mangosteens at first and in the end remains unchanged. 

Make the difference in the number of passion fruits and mangosteens the same. LCM of 4 and 2 is 4.

Increase in the number of passion fruits
= 14 u - 1 u
= 13 u

13 u = 130

1 u = 130 ÷ 13 = 10

Number of mangosteens and passion fruits that $(Fred) has now
= 14 u + 18 u
= 32 u
= 32 x 10
= 320

Answer(s): 320