The total volume of water in Bottle W, Bottle X and Bottle Y was 216 mℓ. Ian poured out half the volume of water from Bottle W, tripled the amount of water in Bottle X and poured out 136 mℓ of water from Bottle Y. The ratio of the volume of water in Bottle W to Bottle X to Bottle Y is now 2 : 3 : 5. Find the total volume of water in the three bottles now.
| |
W |
X |
Y |
| Before |
4 u |
1 u |
5 u + 136 |
| Change |
- 2 u |
+ 2 u |
- 136 |
| After |
2 u |
3 u |
5 u |
Volume of water in Bottle W at first before Liam poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Bottle X at first before Liam tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle X at first before Liam poured out 136 mℓ of water
= 5 u + 136
Total volume of water in the three bottles at first
= 4 u + 1 u + 5 u + 136
= 10 u + 136
10 u + 136 = 216
10 u = 216 - 136
10 u = 80
1 u = 80 ÷ 10 = 8
Total volume of water in the three bottles now
= 2 u + 3 u + 5 u
= 10 u
= 10 x 8
= 80 mℓ
Answer(s): 80 mℓ
