The total volume of water in Bottle M, Bottle N and Bottle P was 215 mℓ. Ian poured out half the volume of water from Bottle M, tripled the amount of water in Bottle N and poured out 125 mℓ of water from Bottle P. The ratio of the volume of water in Bottle M to Bottle N to Bottle P is now 1 : 9 : 10. Find the total volume of water in the three bottles now.
| |
M |
N |
P |
| Before |
2 u |
3 u |
10 u + 125 |
| Change |
- 1 u |
+ 6 u |
- 125 |
| After |
1 u |
9 u |
10 u |
Volume of water in Bottle M at first before Daniel poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle N at first before Daniel tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle N at first before Daniel poured out 125 mℓ of water
= 10 u + 125
Total volume of water in the three bottles at first
= 2 u + 3 u + 10 u + 125
= 15 u + 125
15 u + 125 = 215
15 u = 215 - 125
15 u = 90
1 u = 90 ÷ 15 = 6
Total volume of water in the three bottles now
= 1 u + 9 u + 10 u
= 20 u
= 20 x 6
= 120 mℓ
Answer(s): 120 mℓ
