The total volume of water in Tank N, Tank P and Tank Q was 57 mℓ. Ian poured out half the volume of water from Tank N, doubled the amount of water in Tank P and added 55 mℓ of water into Tank Q. The ratio of the volume of water in Tank N to Tank P to Tank Q is now 3 : 2 : 7. Find the total volume of water in the three tanks now.
| |
N |
P |
Q |
| Before |
6 u |
1 u |
7 u - 55 |
| Change |
- 3 u |
+ 1 u |
+ 55 |
| After |
3 u |
2 u |
7 u |
Volume of water in Tank N at first before Ahmad poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank P at first before Ahmad doubled the volume
= 2 u ÷ 2
= 1 u
Volume of water in Tank P at first before Ahmad added 55 mℓ of water
= 7 u - 55
Total volume of water in the three tanks at first
= 6 u + 1 u + 7 u - 55
= 14 u - 55
14 u - 55 = 57
14 u = 57 + 55
14 u = 112
1 u = 112 ÷ 14 = 8
Total volume of water in the three tanks now
= 3 u + 2 u + 7 u
= 12 u
= 12 x 8
= 96 mℓ
Answer(s): 96 mℓ
