The total volume of water in Bottle H, Bottle J and Bottle K was 243 mℓ. Ian poured out half the volume of water from Bottle H, tripled the amount of water in Bottle J and poured out 61 mℓ of water from Bottle K. The ratio of the volume of water in Bottle H to Bottle J to Bottle K is now 1 : 6 : 9. Find the total volume of water in the three bottles now.
|
H |
J |
K |
Before |
2 u |
2 u |
9 u + 61 |
Change |
- 1 u |
+ 4 u |
- 61 |
After |
1 u |
6 u |
9 u |
Volume of water in Bottle H at first before Caden poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle J at first before Caden tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Bottle J at first before Caden poured out 61 mℓ of water
= 9 u + 61
Total volume of water in the three bottles at first
= 2 u + 2 u + 9 u + 61
= 13 u + 61
13 u + 61 = 243
13 u = 243 - 61
13 u = 182
1 u = 182 ÷ 13 = 14
Total volume of water in the three bottles now
= 1 u + 6 u + 9 u
= 16 u
= 16 x 14
= 224 mℓ
Answer(s): 224 mℓ