The total volume of water in Bottle J, Bottle K and Bottle L was 132 mℓ. Ian poured out half the volume of water from Bottle J, tripled the amount of water in Bottle K and poured out 78 mℓ of water from Bottle L. The ratio of the volume of water in Bottle J to Bottle K to Bottle L is now 1 : 3 : 6. Find the total volume of water in the three bottles now.
| |
J |
K |
L |
| Before |
2 u |
1 u |
6 u + 78 |
| Change |
- 1 u |
+ 2 u |
- 78 |
| After |
1 u |
3 u |
6 u |
Volume of water in Bottle J at first before Eric poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle K at first before Eric tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle K at first before Eric poured out 78 mℓ of water
= 6 u + 78
Total volume of water in the three bottles at first
= 2 u + 1 u + 6 u + 78
= 9 u + 78
9 u + 78 = 132
9 u = 132 - 78
9 u = 54
1 u = 54 ÷ 9 = 6
Total volume of water in the three bottles now
= 1 u + 3 u + 6 u
= 10 u
= 10 x 6
= 60 mℓ
Answer(s): 60 mℓ
