Diana had four containers, R, S, T and U which contained a total of 195 passion fruits. She transferred 15 passion fruits from Container R to Container S, 24 passion fruits from Container S to Container T and 60 passion fruits from Container T to Container U. The ratio of the number of passion fruits in Container R to Container S to Container T changed from  3 : 5 : 12 to 1 : 3 : 6. How many passion fruits were in Container U at first?

	Make p the same (1)x3 = (3)	R (1)	S (2)	T	U
Before	9 u	3 u	5 u	12 u	?
Change 1	- 45	- 15	+ 15
Change 2			- 24	+ 24
Change 3				- 60	+ 60
After	3 p	1 p	3 p	6 p	?

3 u - 15 = 1 p --- (1)

5 u + 15 - 24 = 3 p
5 u - 9 = 3 p --- (2)

(1) _{x 3}
9 u - 45 = 3 p --- (3)

Make p the same.

(3) = (2)
9 u - 45 = 5 u - 9
9 u - 5 u = 45 - 9
4 u = 36

1 u = 36 ÷ 4 = 9

Total number of passion fruits in Container R, Container S and Container T
= 3 u + 5 u + 12 u
= 20 u

Total number of passion fruits in Container U at first
= 195 - 20 u
= 195 - 20 x 9
= 195 - 180
= 15

Answer(s): 15