The total volume of water in Bottle J, Bottle K and Bottle L was 439 mℓ. Ian poured out half the volume of water from Bottle J, tripled the amount of water in Bottle K and poured out 139 mℓ of water from Bottle L. The ratio of the volume of water in Bottle J to Bottle K to Bottle L is now 6 : 6 : 1. Find the total volume of water in the three bottles now.
|
J |
K |
L |
Before |
12 u |
2 u |
1 u + 139 |
Change |
- 6 u |
+ 4 u |
- 139 |
After |
6 u |
6 u |
1 u |
Volume of water in Bottle J at first before Owen poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Bottle K at first before Owen tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Bottle K at first before Owen poured out 139 mℓ of water
= 1 u + 139
Total volume of water in the three bottles at first
= 12 u + 2 u + 1 u + 139
= 15 u + 139
15 u + 139 = 439
15 u = 439 - 139
15 u = 300
1 u = 300 ÷ 15 = 20
Total volume of water in the three bottles now
= 6 u + 6 u + 1 u
= 13 u
= 13 x 20
= 260 mℓ
Answer(s): 260 mℓ