The total volume of water in Tank U, Tank V and Tank W was 235 mℓ. Ian poured out half the volume of water from Tank U, tripled the amount of water in Tank V and poured out 92 mℓ of water from Tank W. The ratio of the volume of water in Tank U to Tank V to Tank W is now 4 : 6 : 1. Find the total volume of water in the three tanks now.
| |
U |
V |
W |
| Before |
8 u |
2 u |
1 u + 92 |
| Change |
- 4 u |
+ 4 u |
- 92 |
| After |
4 u |
6 u |
1 u |
Volume of water in Tank U at first before Jack poured out half the volume
= 2 x 4 u
= 8 u
Volume of water in Tank V at first before Jack tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank V at first before Jack poured out 92 mℓ of water
= 1 u + 92
Total volume of water in the three tanks at first
= 8 u + 2 u + 1 u + 92
= 11 u + 92
11 u + 92 = 235
11 u = 235 - 92
11 u = 143
1 u = 143 ÷ 11 = 13
Total volume of water in the three tanks now
= 4 u + 6 u + 1 u
= 11 u
= 11 x 13
= 143 mℓ
Answer(s): 143 mℓ
