The total volume of water in Bottle P, Bottle Q and Bottle R was 83 mℓ. Ian poured out half the volume of water from Bottle P, doubled the amount of water in Bottle Q and added 50 mℓ of water into Bottle R. The ratio of the volume of water in Bottle P to Bottle Q to Bottle R is now 5 : 6 : 6. Find the total volume of water in the three bottles now.
| |
P |
Q |
R |
| Before |
10 u |
3 u |
6 u - 50 |
| Change |
- 5 u |
+ 3 u |
+ 50 |
| After |
5 u |
6 u |
6 u |
Volume of water in Bottle P at first before Brandon poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Bottle Q at first before Brandon doubled the volume
= 6 u ÷ 2
= 3 u
Volume of water in Bottle Q at first before Brandon added 50 mℓ of water
= 6 u - 50
Total volume of water in the three bottles at first
= 10 u + 3 u + 6 u - 50
= 19 u - 50
19 u - 50 = 83
19 u = 83 + 50
19 u = 133
1 u = 133 ÷ 19 = 7
Total volume of water in the three bottles now
= 5 u + 6 u + 6 u
= 17 u
= 17 x 7
= 119 mℓ
Answer(s): 119 mℓ
