Kylie had four containers, H, J, K and L which contained a total of 339 passion fruits. She transferred 42 passion fruits from Container H to Container J, 70 passion fruits from Container J to Container K and 84 passion fruits from Container K to Container L. The ratio of the number of passion fruits in Container H to Container J to Container K changed from  4 : 6 : 9 to 1 : 4 : 8. How many passion fruits were in Container L at first?

	Make p the same (1)x4 = (3)	H (1)	J (2)	K	L
Before	16 u	4 u	6 u	9 u	?
Change 1	- 168	- 42	+ 42
Change 2			- 70	+ 70
Change 3				- 84	+ 84
After	4 p	1 p	4 p	8 p	?

4 u - 42 = 1 p --- (1)

6 u + 42 - 70 = 4 p
6 u - 28 = 4 p --- (2)

(1) _{x 4}
16 u - 168 = 4 p --- (3)

Make p the same.

(3) = (2)
16 u - 168 = 6 u - 28
16 u - 6 u = 168 - 28
10 u = 140

1 u = 140 ÷ 10 = 14

Total number of passion fruits in Container H, Container J and Container K
= 4 u + 6 u + 9 u
= 19 u

Total number of passion fruits in Container L at first
= 339 - 19 u
= 339 - 19 x 14
= 339 - 266
= 73

Answer(s): 73