Answer:
The volume of 1 bucket is 2.4 liters.
Step-by-step explanation:
We know that the volume of 12 buckets is the same as the volume of 9 bottles:
[tex] 12B = 9b [/tex]
[tex] B = \frac{9}{12}b = \frac{3}{4}b [/tex] (1)
Where B is for buckets and b is for bottles.
Also, that the total volume of 3 bottles and 5 buckets is 21.6 liters:
[tex] 5B + 3b = 21.6 [/tex] (2)
We can calculate the volume of 1 bucket by entering equation (1) into (2):
[tex] 5(\frac{3}{4}b) + 3b = 21.6 [/tex]
By solving for "b" we have:
[tex] b = \frac{21.6*4}{27} = 3.2 [/tex]
Now, the volume of 1 bucket is:
[tex] B = \frac{3}{4}b = \frac{3*3.2}{4} = 2.4 [/tex]
Therefore, the volume of 1 bucket is 2.4 liters.
I hope it helps you!
