The total volume of water in Bottle P, Bottle Q and Bottle R was 105 mℓ. Ian poured out half the volume of water from Bottle P, doubled the amount of water in Bottle Q and added 135 mℓ of water into Bottle R. The ratio of the volume of water in Bottle P to Bottle Q to Bottle R is now 3 : 10 : 1. Find the total volume of water in the three bottles now.
| |
P |
Q |
R |
| Before |
6 u |
5 u |
1 u - 135 |
| Change |
- 3 u |
+ 5 u |
+ 135 |
| After |
3 u |
10 u |
1 u |
Volume of water in Bottle P at first before Ethan poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle Q at first before Ethan doubled the volume
= 10 u ÷ 2
= 5 u
Volume of water in Bottle Q at first before Ethan added 135 mℓ of water
= 1 u - 135
Total volume of water in the three bottles at first
= 6 u + 5 u + 1 u - 135
= 12 u - 135
12 u - 135 = 105
12 u = 105 + 135
12 u = 240
1 u = 240 ÷ 12 = 20
Total volume of water in the three bottles now
= 3 u + 10 u + 1 u
= 14 u
= 14 x 20
= 280 mℓ
Answer(s): 280 mℓ
