The total volume of water in Tank U, Tank V and Tank W was 54 mℓ. Ian poured out half the volume of water from Tank U, doubled the amount of water in Tank V and added 72 mℓ of water into Tank W. The ratio of the volume of water in Tank U to Tank V to Tank W is now 2 : 4 : 1. Find the total volume of water in the three tanks now.
| |
U |
V |
W |
| Before |
4 u |
2 u |
1 u - 72 |
| Change |
- 2 u |
+ 2 u |
+ 72 |
| After |
2 u |
4 u |
1 u |
Volume of water in Tank U at first before Tom poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Tank V at first before Tom doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Tank V at first before Tom added 72 mℓ of water
= 1 u - 72
Total volume of water in the three tanks at first
= 4 u + 2 u + 1 u - 72
= 7 u - 72
7 u - 72 = 54
7 u = 54 + 72
7 u = 126
1 u = 126 ÷ 7 = 18
Total volume of water in the three tanks now
= 2 u + 4 u + 1 u
= 7 u
= 7 x 18
= 126 mℓ
Answer(s): 126 mℓ
