We are given that Brianna needs to receive $199300 and that she also needs to allow for a 3 percent commission. Let "x" be the amount Brianna needs to sell her house. We need to subtract from this amount the 3% commission. To do that we will use the following relationship:
Now, we solve for "x" first by adding the fractions using the following model:
Therefore, we will multiply the 100 from the denominator by "x" and subtract 3 from the result, like this:
Solving the operations we get:
Now we multiply both sides by 100:
Now we divide both sides by 97:
Therefore, the amount is $205463.92. Since we are told to round to the nearest hundred dollars we round the answer to $205500.