the volume of 12 buckets is the same as the volume of 9 bottles. the total volume of 3 bottles and 5 buckets is 21.6 liters. what is the volume of 1 bucket?

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:

  (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:

  (2)

We can calculate the volume of 1 bucket by entering equation (1) into (2):

By solving for "b" we have:

Now, the volume of 1 bucket is:

Therefore, the volume of 1 bucket is 2.4 liters.

I hope it helps you!