The total volume of water in Bottle N, Bottle P and Bottle Q was 227 mℓ. Ian poured out half the volume of water from Bottle N, tripled the amount of water in Bottle P and poured out 122 mℓ of water from Bottle Q. The ratio of the volume of water in Bottle N to Bottle P to Bottle Q is now 5 : 9 : 2. Find the total volume of water in the three bottles now.
| |
N |
P |
Q |
| Before |
10 u |
3 u |
2 u + 122 |
| Change |
- 5 u |
+ 6 u |
- 122 |
| After |
5 u |
9 u |
2 u |
Volume of water in Bottle N at first before Ken poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Bottle P at first before Ken tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle P at first before Ken poured out 122 mℓ of water
= 2 u + 122
Total volume of water in the three bottles at first
= 10 u + 3 u + 2 u + 122
= 15 u + 122
15 u + 122 = 227
15 u = 227 - 122
15 u = 105
1 u = 105 ÷ 15 = 7
Total volume of water in the three bottles now
= 5 u + 9 u + 2 u
= 16 u
= 16 x 7
= 112 mℓ
Answer(s): 112 mℓ
