How to find volumes from only given height and cost

Question

The two containers are similar. Their heights are 64cm and 48cm respectivel. Both containers are filled with juice. The juice is sold at $1.20 per litre. If the total cost of the juice in container A is $72, find the volume of container A.

Answer 1

Let's start with what we know to find what we don't know.

 

We have $72 worth of juice, and it's value is $1.20 per litre.  So how many total litres are there?

 

72/1.20= 60 Litres

 

As for the containers, as they are similar if we can find the ratio of their sizes we can determine the volume each contain since they are both full.

 

64 cm / 48 cm gives us a ratio of 4/3, or 57.14% to 42.86%

 

Now we can apply that ratio to the total litres we have (60 litres).

 

60 litres x .5714=   34.29 litres for Container A

60 litres x .4286 =  25.61 litres for Container B