Joelle had four containers, G, H, J and K which contained a total of 243 passion fruits. She transferred 19 passion fruits from Container G to Container H, 51 passion fruits from Container H to Container J and 105 passion fruits from Container J to Container K. The ratio of the number of passion fruits in Container G to Container H to Container J changed from  3 : 6 : 10 to 1 : 5 : 8. How many passion fruits were in Container K at first?

	Make p the same (1)x5 = (3)	G (1)	H (2)	J	K
Before	15 u	3 u	6 u	10 u	?
Change 1	- 95	- 19	+ 19
Change 2			- 51	+ 51
Change 3				- 105	+ 105
After	5 p	1 p	5 p	8 p	?

3 u - 19 = 1 p --- (1)

6 u + 19 - 51 = 5 p
6 u - 32 = 5 p --- (2)

(1) _{x 5}
15 u - 95 = 5 p --- (3)

Make p the same.

(3) = (2)
15 u - 95 = 6 u - 32
15 u - 6 u = 95 - 32
9 u = 63

1 u = 63 ÷ 9 = 7

Total number of passion fruits in Container G, Container H and Container J
= 3 u + 6 u + 10 u
= 19 u

Total number of passion fruits in Container K at first
= 243 - 19 u
= 243 - 19 x 7
= 243 - 133
= 110

Answer(s): 110