The total volume of water in Bottle X, Bottle Y and Bottle Z was 298 mℓ. Ian poured out half the volume of water from Bottle X, tripled the amount of water in Bottle Y and poured out 77 mℓ of water from Bottle Z. The ratio of the volume of water in Bottle X to Bottle Y to Bottle Z is now 5 : 6 : 1. Find the total volume of water in the three bottles now.
| |
X |
Y |
Z |
| Before |
10 u |
2 u |
1 u + 77 |
| Change |
- 5 u |
+ 4 u |
- 77 |
| After |
5 u |
6 u |
1 u |
Volume of water in Bottle X at first before Neave poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Bottle Y at first before Neave tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Bottle Y at first before Neave poured out 77 mℓ of water
= 1 u + 77
Total volume of water in the three bottles at first
= 10 u + 2 u + 1 u + 77
= 13 u + 77
13 u + 77 = 298
13 u = 298 - 77
13 u = 221
1 u = 221 ÷ 13 = 17
Total volume of water in the three bottles now
= 5 u + 6 u + 1 u
= 12 u
= 12 x 17
= 204 mℓ
Answer(s): 204 mℓ
