The total volume of water in Bottle X, Bottle Y and Bottle Z was 254 mℓ. Ian poured out half the volume of water from Bottle X, tripled the amount of water in Bottle Y and poured out 86 mℓ of water from Bottle Z. The ratio of the volume of water in Bottle X to Bottle Y to Bottle Z is now 1 : 6 : 8. Find the total volume of water in the three bottles now.
| |
X |
Y |
Z |
| Before |
2 u |
2 u |
8 u + 86 |
| Change |
- 1 u |
+ 4 u |
- 86 |
| After |
1 u |
6 u |
8 u |
Volume of water in Bottle X at first before Dylan poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle Y at first before Dylan tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Bottle Y at first before Dylan poured out 86 mℓ of water
= 8 u + 86
Total volume of water in the three bottles at first
= 2 u + 2 u + 8 u + 86
= 12 u + 86
12 u + 86 = 254
12 u = 254 - 86
12 u = 168
1 u = 168 ÷ 12 = 14
Total volume of water in the three bottles now
= 1 u + 6 u + 8 u
= 15 u
= 15 x 14
= 210 mℓ
Answer(s): 210 mℓ
