The total volume of water in Bottle N, Bottle P and Bottle Q was 355 mℓ. Ian poured out half the volume of water from Bottle N, tripled the amount of water in Bottle P and poured out 127 mℓ of water from Bottle Q. The ratio of the volume of water in Bottle N to Bottle P to Bottle Q is now 2 : 3 : 7. Find the total volume of water in the three bottles now.
| |
N |
P |
Q |
| Before |
4 u |
1 u |
7 u + 127 |
| Change |
- 2 u |
+ 2 u |
- 127 |
| After |
2 u |
3 u |
7 u |
Volume of water in Bottle N at first before Elijah poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Bottle P at first before Elijah tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle P at first before Elijah poured out 127 mℓ of water
= 7 u + 127
Total volume of water in the three bottles at first
= 4 u + 1 u + 7 u + 127
= 12 u + 127
12 u + 127 = 355
12 u = 355 - 127
12 u = 228
1 u = 228 ÷ 12 = 19
Total volume of water in the three bottles now
= 2 u + 3 u + 7 u
= 12 u
= 12 x 19
= 228 mℓ
Answer(s): 228 mℓ
