The total volume of water in Tank P, Tank Q and Tank R was 260 mℓ. Ian poured out half the volume of water from Tank P, doubled the amount of water in Tank Q and added 140 mℓ of water into Tank R. The ratio of the volume of water in Tank P to Tank Q to Tank R is now 9 : 8 : 3. Find the total volume of water in the three tanks now.
| |
P |
Q |
R |
| Before |
18 u |
4 u |
3 u - 140 |
| Change |
- 9 u |
+ 4 u |
+ 140 |
| After |
9 u |
8 u |
3 u |
Volume of water in Tank P at first before Ken poured out half the volume
= 2 x 9 u
= 18 u
Volume of water in Tank Q at first before Ken doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Tank Q at first before Ken added 140 mℓ of water
= 3 u - 140
Total volume of water in the three tanks at first
= 18 u + 4 u + 3 u - 140
= 25 u - 140
25 u - 140 = 260
25 u = 260 + 140
25 u = 400
1 u = 400 ÷ 25 = 16
Total volume of water in the three tanks now
= 9 u + 8 u + 3 u
= 20 u
= 20 x 16
= 320 mℓ
Answer(s): 320 mℓ
