The total volume of water in Bottle Q, Bottle R and Bottle S was 207 mℓ. Ian poured out half the volume of water from Bottle Q, tripled the amount of water in Bottle R and poured out 54 mℓ of water from Bottle S. The ratio of the volume of water in Bottle Q to Bottle R to Bottle S is now 1 : 9 : 4. Find the total volume of water in the three bottles now.
| |
Q |
R |
S |
| Before |
2 u |
3 u |
4 u + 54 |
| Change |
- 1 u |
+ 6 u |
- 54 |
| After |
1 u |
9 u |
4 u |
Volume of water in Bottle Q at first before Pierre poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle R at first before Pierre tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle R at first before Pierre poured out 54 mℓ of water
= 4 u + 54
Total volume of water in the three bottles at first
= 2 u + 3 u + 4 u + 54
= 9 u + 54
9 u + 54 = 207
9 u = 207 - 54
9 u = 153
1 u = 153 ÷ 9 = 17
Total volume of water in the three bottles now
= 1 u + 9 u + 4 u
= 14 u
= 14 x 17
= 238 mℓ
Answer(s): 238 mℓ
