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

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:

$12B = 9b$  

$B = \frac{9}{12}b = \frac{3}{4}b$   (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):

$5(\frac{3}{4}b) + 3b = 21.6$

By solving for "b" we have:

$b = \frac{21.6*4}{27} = 3.2$

Now, the volume of 1 bucket is:

$B = \frac{3}{4}b = \frac{3*3.2}{4} = 2.4$

Therefore, the volume of 1 bucket is 2.4 liters.

I hope it helps you!