The total volume of water in Tank Q, Tank R and Tank S was 433 mℓ. Ian poured out half the volume of water from Tank Q, tripled the amount of water in Tank R and poured out 73 mℓ of water from Tank S. The ratio of the volume of water in Tank Q to Tank R to Tank S is now 6 : 9 : 5. Find the total volume of water in the three tanks now.
| |
Q |
R |
S |
| Before |
12 u |
3 u |
5 u + 73 |
| Change |
- 6 u |
+ 6 u |
- 73 |
| After |
6 u |
9 u |
5 u |
Volume of water in Tank Q at first before Zane poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Tank R at first before Zane tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Tank R at first before Zane poured out 73 mℓ of water
= 5 u + 73
Total volume of water in the three tanks at first
= 12 u + 3 u + 5 u + 73
= 20 u + 73
20 u + 73 = 433
20 u = 433 - 73
20 u = 360
1 u = 360 ÷ 20 = 18
Total volume of water in the three tanks now
= 6 u + 9 u + 5 u
= 20 u
= 20 x 18
= 360 mℓ
Answer(s): 360 mℓ
