The total volume of water in Tank P, Tank Q and Tank R was 243 mℓ. Ian poured out half the volume of water from Tank P, tripled the amount of water in Tank Q and poured out 63 mℓ of water from Tank R. The ratio of the volume of water in Tank P to Tank Q to Tank R is now 3 : 6 : 2. Find the total volume of water in the three tanks now.
| |
P |
Q |
R |
| Before |
6 u |
2 u |
2 u + 63 |
| Change |
- 3 u |
+ 4 u |
- 63 |
| After |
3 u |
6 u |
2 u |
Volume of water in Tank P at first before Peter poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank Q at first before Peter tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank Q at first before Peter poured out 63 mℓ of water
= 2 u + 63
Total volume of water in the three tanks at first
= 6 u + 2 u + 2 u + 63
= 10 u + 63
10 u + 63 = 243
10 u = 243 - 63
10 u = 180
1 u = 180 ÷ 10 = 18
Total volume of water in the three tanks now
= 3 u + 6 u + 2 u
= 11 u
= 11 x 18
= 198 mℓ
Answer(s): 198 mℓ
