The total volume of water in Bottle W, Bottle X and Bottle Y was 367 mℓ. Ian poured out half the volume of water from Bottle W, tripled the amount of water in Bottle X and poured out 78 mℓ of water from Bottle Y. The ratio of the volume of water in Bottle W to Bottle X to Bottle Y is now 3 : 9 : 8. Find the total volume of water in the three bottles now.
| |
W |
X |
Y |
| Before |
6 u |
3 u |
8 u + 78 |
| Change |
- 3 u |
+ 6 u |
- 78 |
| After |
3 u |
9 u |
8 u |
Volume of water in Bottle W at first before Eric poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle X at first before Eric tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle X at first before Eric poured out 78 mℓ of water
= 8 u + 78
Total volume of water in the three bottles at first
= 6 u + 3 u + 8 u + 78
= 17 u + 78
17 u + 78 = 367
17 u = 367 - 78
17 u = 289
1 u = 289 ÷ 17 = 17
Total volume of water in the three bottles now
= 3 u + 9 u + 8 u
= 20 u
= 20 x 17
= 340 mℓ
Answer(s): 340 mℓ
