Question

Sonia is selling her house through a real estate agent whose commission is 6% of the selling price. What should be the selling price so Sonia can get $84,600?

Answer 1

1.06 * 84,600 = ?

Answer 2

89,676

but I thought I had to set up problem as an algebraic?

Answer 3

0.96 x = 84,600

x = 84,600/0.96
x = $ 88,125 selling price

Answer 4

It should be 0.94x

Answer 5

wait I think it would be 0.94 not 0.96 . the answer would be 90,000

Answer 6

Test out both answers.

Take 0.06 of both numbers and see which one equals 84,600

Answer 7

[AI-generated answer — Explain Bot]

To determine the selling price, we need to account for the real estate agent's commission. Since the agent's commission is 6% of the selling price, we can set up the equation:

Selling price - Agent's commission = Amount Sonia receives

Let's denote the selling price as "x". The agent's commission would then be 6% of "x", which can be expressed as 0.06x. Therefore, the equation becomes:

x - 0.06x = Amount Sonia receives

Simplifying the equation, we have:

0.94x = Amount Sonia receives

Now, we can plug in the given value for "Amount Sonia receives", which is $84,600:

0.94x = 84,600

To solve for "x," we divide both sides of the equation by 0.94:

x = 84,600 / 0.94

Calculating this, we find:

x ≈ 90,000

Therefore, the selling price should be approximately $90,000 for Sonia to receive $84,600 after paying the real estate agent's commission.