The total volume of water in Tank X, Tank Y and Tank Z was 259 mℓ. Ian poured out half the volume of water from Tank X, tripled the amount of water in Tank Y and poured out 109 mℓ of water from Tank Z. The ratio of the volume of water in Tank X to Tank Y to Tank Z is now 3 : 6 : 7. Find the total volume of water in the three tanks now.
| |
X |
Y |
Z |
| Before |
6 u |
2 u |
7 u + 109 |
| Change |
- 3 u |
+ 4 u |
- 109 |
| After |
3 u |
6 u |
7 u |
Volume of water in Tank X at first before Ethan poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank Y at first before Ethan tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank Y at first before Ethan poured out 109 mℓ of water
= 7 u + 109
Total volume of water in the three tanks at first
= 6 u + 2 u + 7 u + 109
= 15 u + 109
15 u + 109 = 259
15 u = 259 - 109
15 u = 150
1 u = 150 ÷ 15 = 10
Total volume of water in the three tanks now
= 3 u + 6 u + 7 u
= 16 u
= 16 x 10
= 160 mℓ
Answer(s): 160 mℓ
