document.write( "Question 1207438: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width,and 3 centimeters in thickness.Due to escalating costs of cocoa,management decides to reduce the volume of the bar by 10%.To accomplish this reduction, management decides that the new bar should have the same 3 centimeter thickness,but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar?\r
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document.write( "I need help with this one. Too many words and numbers throw me into a loop. \n" );
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Algebra.Com's Answer #845292 by MathTherapy(10556) You can put this solution on YOUR website! \r\n" ); document.write( "A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width,and 3 centimeters in thickness.Due to escalating costs of cocoa,management decides to reduce the volume of the bar by 10%.To accomplish this reduction, management decides that the new bar should have the same 3 centimeter thickness,but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar?\r\n" ); document.write( "\r\n" ); document.write( "I need help with this one. Too many words and numbers throw me into a loop. \r\n" ); document.write( "\r\n" ); document.write( "Volume of the OLD bar: Length * Width * Thickness = 12 * 7 * 3 = 252 cc\r\n" ); document.write( "Volume of the NEW bar: (1 - .1)252 = .9(252) = 226.8 cc\r\n" ); document.write( "\r\n" ); document.write( "Let reduction in length be r. Reduction in width is also r.\r\n" ); document.write( "Thickness of NEW bar: 3\r\n" ); document.write( "Length of NEW bar: Original length, less reduction, or 12 - r \r\n" ); document.write( "Width of NEW bar: Original width, less reduction, or 7 - r \r\n" ); document.write( "\r\n" ); document.write( "(Length of NEW bar) * (Width of NEW bar) * (Thickness of NEW bar) = (Volume of NEW bar) \r\n" ); document.write( " (12 - r) * (7 - r) * (3) = 226.8\r\n" ); document.write( "\r\n" ); document.write( "3(12 - r)(7 - r) = 226.8\r\n" ); document.write( "\n" ); document.write( " |