The total volume of water in Tank P, Tank Q and Tank R was 475 mℓ. Ian poured out half the volume of water from Tank P, doubled the amount of water in Tank Q and added 76 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 : 6 : 8. Find the total volume of water in the three tanks now.
|
P |
Q |
R |
Before |
18 u |
3 u |
8 u - 76 |
Change |
- 9 u |
+ 3 u |
+ 76 |
After |
9 u |
6 u |
8 u |
Volume of water in Tank P at first before Justin poured out half the volume
= 2 x 9 u
= 18 u
Volume of water in Tank Q at first before Justin doubled the volume
= 6 u ÷ 2
= 3 u
Volume of water in Tank Q at first before Justin added 76 mℓ of water
= 8 u - 76
Total volume of water in the three tanks at first
= 18 u + 3 u + 8 u - 76
= 29 u - 76
29 u - 76 = 475
29 u = 475 + 76
29 u = 551
1 u = 551 ÷ 29 = 19
Total volume of water in the three tanks now
= 9 u + 6 u + 8 u
= 23 u
= 23 x 19
= 437 mℓ
Answer(s): 437 mℓ