The total volume of water in Bottle L, Bottle M and Bottle N was 18 mℓ. Ian poured out half the volume of water from Bottle L, doubled the amount of water in Bottle M and added 129 mℓ of water into Bottle N. The ratio of the volume of water in Bottle L to Bottle M to Bottle N is now 7 : 4 : 5. Find the total volume of water in the three bottles now.
| |
L |
M |
N |
| Before |
14 u |
2 u |
5 u - 129 |
| Change |
- 7 u |
+ 2 u |
+ 129 |
| After |
7 u |
4 u |
5 u |
Volume of water in Bottle L at first before Rael poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Bottle M at first before Rael doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Bottle M at first before Rael added 129 mℓ of water
= 5 u - 129
Total volume of water in the three bottles at first
= 14 u + 2 u + 5 u - 129
= 21 u - 129
21 u - 129 = 18
21 u = 18 + 129
21 u = 147
1 u = 147 ÷ 21 = 7
Total volume of water in the three bottles now
= 7 u + 4 u + 5 u
= 16 u
= 16 x 7
= 112 mℓ
Answer(s): 112 mℓ
