SOLUTION: The following is a real estate commission on the selling price of a house. 9% for the first $100,000 and 6% for the amount which exceeds $100,000. A realtor receives $13,500 for

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Question 1066146: The following is a real estate commission on the selling price of a house.
9% for the first $100,000 and 6% for the amount which exceeds $100,000.
A realtor receives $13,500 for selling a house. What was the selling price?

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the realtor's commission is 13,500

the realtor gets 9% on the first 100,000 and 6% on any amount over 100,000.

the commission is 13,500.

9% of 100,000 is equal to 9,000.

since 13,500 is greater than 9,000, subtract 9,000 from 13,500 to get 4,500.

that's the commission on the amount over 100,000

if x = the amount over 100,000, then .06 * x = 4,500.

solve for x to get x = 75,000

the total cost of the house is 100,000 + 75,000 = 175,000.

the house costs 175,000

realtor gets 9% on 100,000 = 9,000

realtor gets 6% on 75,000 = 4,500.

total commission is 13,500.

selling price of the house is 175,000.





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