The total volume of water in Bottle G, Bottle H and Bottle J was 164 mℓ. Ian poured out half the volume of water from Bottle G, doubled the amount of water in Bottle H and added 109 mℓ of water into Bottle J. The ratio of the volume of water in Bottle G to Bottle H to Bottle J is now 5 : 8 : 7. Find the total volume of water in the three bottles now.

	G	H	J
Before	10 u	4 u	7 u - 109
Change	- 5 u	+ 4 u	+ 109
After	5 u	8 u	7 u

Volume of water in Bottle G at first before Eric poured out half the volume
= 2 x 5 u
= 10 u

Volume of water in Bottle H at first before Eric doubled the volume
= 8 u ÷ 2
= 4 u

Volume of water in Bottle H at first before Eric added 109 mℓ of water 
= 7 u - 109

Total volume of water in the three bottles at first
= 10 u + 4 u + 7 u - 109
= 21 u - 109

21 u - 109 = 164
21 u = 164 + 109 
21 u = 273

1 u = 273 ÷ 21 = 13

Total volume of water in the three bottles now
= 5 u + 8 u + 7 u
= 20 u
= 20 x 13
= 260 mℓ

Answer(s): 260 mℓ