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2. A home renovation service gives a homeowner a quote of [tex]$3,200 to put hardwood floors in 80% of a house or $[/tex]1,600 to put hardwood floors in 40% of the house. How much does the company charge to put hardwood floors in an additional 1% of the house?



Answer :

Final answer:

The company charges [tex]$2,000 to put hardwood floors in 40% of the house. Adding 1% would cost an additional $[/tex]40, making the total cost [tex]$2,040.


Explanation:

The company charges $[/tex]2,000 to put hardwood floors in 40% of the house. To find out how much they charge for an additional 1% of the house, we need to calculate the cost for 1%. Since 40% = [tex]$1,600, then $[/tex]1 is equal to [tex]$1,600 ÷ 40 = $[/tex]40. Therefore, 1% of the house would cost [tex]$40. So, for an additional 1%, the company would charge $[/tex]40 extra, making the total cost for 41% of the house [tex]$2,000 + $[/tex]40 = $2,040.


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