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What is the minimum Brianna can lost the house to accommodate both of these requirements, round the the nearest hundred dollars

What is the minimum Brianna can lost the house to accommodate both of these requirements-example-1
User Renaud Tarnec
by
2.4k points

1 Answer

22 votes
22 votes

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:


x-(3)/(100)x=199300

Now, we solve for "x" first by adding the fractions using the following model:


a+(b)/(c)=(ac+b)/(c)

Therefore, we will multiply the 100 from the denominator by "x" and subtract 3 from the result, like this:


(100x-3x)/(100)=199300

Solving the operations we get:


(97x)/(100)=199300

Now we multiply both sides by 100:


97x=19930000

Now we divide both sides by 97:


x=(19930000)/(97)=205463.92

Therefore, the amount is $205463.92. Since we are told to round to the nearest hundred dollars we round the answer to $205500.

User Ami
by
3.1k points
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