Question

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?

Answer 1

The volume of 1 bucket is 2.4 liters.

Explanation:

We know that the volume of 12 buckets is the same as the volume of 9 bottles:

`12B = 9b`

`B = (9)/(12)b = (3)/(4)b` (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:

`5B + 3b = 21.6` (2)

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

`5((3)/(4)b) + 3b = 21.6`

By solving for "b" we have:

`b = (21.6*4)/(27) = 3.2`

Now, the volume of 1 bucket is:

`B = (3)/(4)b = (3*3.2)/(4) = 2.4`

Therefore, the volume of 1 bucket is 2.4 liters.

I hope it helps you!