standardized test question

Question

There are n gallons of liquid available to fill a tank. After k gallons of the liquid have filled the tank, how do you represent in terms of n and k the percent of liquid that has filled the tank?

Answer 1

Method 1: By Plugging in the variables n and k

Suppose n=12 gallons (total available) and

k=4 gallons (in the tank).

The fraction of the tank that is filled is:

k/n=4/12

To convert this fraction to a percentage, multiply by 100:

100(4/12)=33.3% or 100*k/n

Method 2: let k be amount of gallons remaining and n is total

and rewrite the percent filled. This will be our expression for the following problem.

Percent filled=100(k/n), this is our answer.