The total volume of water in Bottle N, Bottle P and Bottle Q was 197 mℓ. Ian poured out half the volume of water from Bottle N, doubled the amount of water in Bottle P and added 143 mℓ of water into Bottle Q. The ratio of the volume of water in Bottle N to Bottle P to Bottle Q is now 7 : 10 : 1. Find the total volume of water in the three bottles now.
| |
N |
P |
Q |
| Before |
14 u |
5 u |
1 u - 143 |
| Change |
- 7 u |
+ 5 u |
+ 143 |
| After |
7 u |
10 u |
1 u |
Volume of water in Bottle N at first before Valen poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Bottle P at first before Valen doubled the volume
= 10 u ÷ 2
= 5 u
Volume of water in Bottle P at first before Valen added 143 mℓ of water
= 1 u - 143
Total volume of water in the three bottles at first
= 14 u + 5 u + 1 u - 143
= 20 u - 143
20 u - 143 = 197
20 u = 197 + 143
20 u = 340
1 u = 340 ÷ 20 = 17
Total volume of water in the three bottles now
= 7 u + 10 u + 1 u
= 18 u
= 18 x 17
= 306 mℓ
Answer(s): 306 mℓ
