The total volume of water in Bottle Q, Bottle R and Bottle S was 247 mℓ. Ian poured out half the volume of water from Bottle Q, tripled the amount of water in Bottle R and poured out 135 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 : 6 : 10. Find the total volume of water in the three bottles now.
| |
Q |
R |
S |
| Before |
2 u |
2 u |
10 u + 135 |
| Change |
- 1 u |
+ 4 u |
- 135 |
| After |
1 u |
6 u |
10 u |
Volume of water in Bottle Q at first before Glen poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle R at first before Glen tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Bottle R at first before Glen poured out 135 mℓ of water
= 10 u + 135
Total volume of water in the three bottles at first
= 2 u + 2 u + 10 u + 135
= 14 u + 135
14 u + 135 = 247
14 u = 247 - 135
14 u = 112
1 u = 112 ÷ 14 = 8
Total volume of water in the three bottles now
= 1 u + 6 u + 10 u
= 17 u
= 17 x 8
= 136 mℓ
Answer(s): 136 mℓ
