The total volume of water in Tank T, Tank U and Tank V was 425 mℓ. Ian poured out half the volume of water from Tank T, tripled the amount of water in Tank U and poured out 85 mℓ of water from Tank V. The ratio of the volume of water in Tank T to Tank U to Tank V is now 3 : 3 : 10. Find the total volume of water in the three tanks now.
| |
T |
U |
V |
| Before |
6 u |
1 u |
10 u + 85 |
| Change |
- 3 u |
+ 2 u |
- 85 |
| After |
3 u |
3 u |
10 u |
Volume of water in Tank T at first before Billy poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank U at first before Billy tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Tank U at first before Billy poured out 85 mℓ of water
= 10 u + 85
Total volume of water in the three tanks at first
= 6 u + 1 u + 10 u + 85
= 17 u + 85
17 u + 85 = 425
17 u = 425 - 85
17 u = 340
1 u = 340 ÷ 17 = 20
Total volume of water in the three tanks now
= 3 u + 3 u + 10 u
= 16 u
= 16 x 20
= 320 mℓ
Answer(s): 320 mℓ
