document.write( "Question 39433: The High Five Beanbag company can manufactrue a certain number of beanbags per day for $180. If they manufacture thirty more beanbags per day, the manufacturing price drops be $.50 per unit while the total daily manufacturing cost of $180 remains the same. How many beanbags did the company originally manufacture per day? \n" ); document.write( "
Algebra.Com's Answer #24871 by stanbon(75887)\"\" \"About 
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The High Five Beanbag company can manufactrue a certain number of beanbags per day for $180. If they manufacture thirty more beanbags per day, the manufacturing price drops be $.50 per unit while the total daily manufacturing cost of $180 remains the same. How many beanbags did the company originally manufacture per day?\r
\n" ); document.write( "\n" ); document.write( "Original Price Data:
\n" ); document.write( "# of bags = x; total cost= $180; price per bag= 180/x dollars
\n" ); document.write( "New Price Data:
\n" ); document.write( "# of bags = x+30; cost=$180; price per bag = 180/(x+30) dollars
\n" ); document.write( "EQUATION:
\n" ); document.write( "Original price per bag = New price per bag + 1/2 dollar
\n" ); document.write( "180/x = 180/(x+30) + 1/2
\n" ); document.write( "Multiply thru by 2x(x+30) to get:
\n" ); document.write( "2(180)(x+30) =2(180)(x) +x(x+30)
\n" ); document.write( "360x+(60)(180)=360x+x^2+30x
\n" ); document.write( "x^2+30x-10800=0
\n" ); document.write( "(x-90)(x+120)=0
\n" ); document.write( "x=90 or x=-120
\n" ); document.write( "Only x=90 is applicable
\n" ); document.write( "Original number of bags produced is 90.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );