document.write( "Question 77572: A store bought a $1000 shipment of sweaters and offered them for sale after a $15 markup on each sweater. All but 10 sweaters were sold, and the store made a $400 profit on the sweaters. How many sweaters did the store buy? \n" ); document.write( "
Algebra.Com's Answer #55648 by stanbon(75887)\"\" \"About 
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A store bought a $1000 shipment of sweaters and offered them for sale after a $15 markup on each sweater. All but 10 sweaters were sold, and the store made a $400 profit on the sweaters. How many sweaters did the store buy?
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\n" ); document.write( "Let \"x\" be the number of sweaters bought.
\n" ); document.write( "Paid price per sweater = 1000/x
\n" ); document.write( "Selling price per sweater = 1000/x + 15
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\n" ); document.write( "EQUATION:
\n" ); document.write( "(number of sweaters sold)(selling price) = 1000 +400
\n" ); document.write( "(x-10)((1000/x)+15)=1400
\n" ); document.write( "1000+15x-10000/x-150 = 1400
\n" ); document.write( "15x-(10000/x)=550
\n" ); document.write( "15x^2-10000=550x
\n" ); document.write( "15x^2-550x-10000=0
\n" ); document.write( "3x^2-110x-2000=0
\n" ); document.write( "x=[110+-sqrt(12100-4*3*-2000)]/6
\n" ); document.write( "x=[110+-sqrt(36100)]/6
\n" ); document.write( "x=50 (# of sweaters bought)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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