Question 255240
let x = selling price of house.


she must pay .07*x to the real estate agent.


she wants to make $140,000 after she had paid the real estate agent.


equation is:


x - .07*x = 140000


this becomes x * (1-.07) = 140000


this becomes x * .93 = 140000


divide both sides of this equation by .93 to get:


x = 140000 / .93 = 150537.6344


if she sells the house for that price, then the broker gets:


.07*150537.6344 = 10537.63441


selling price is 150537.6344
broker's commission is 10537.63441


150537.6344 - 10537.63441 = 140000.


your answer is:


she must sell the house for $150,537 in order to make $140,000, assuming the real estate agent gets 7% of the selling price.