document.write( "Question 475491: Alice needs to make a certain number of boxes. If she makes the boxes at a rate of 16 boxes per hour, she will take 2 hours longer than if she works at a rate of 18 boxes per hour. How many boxes does Alice need to make? \n" ); document.write( "
Algebra.Com's Answer #326085 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Alice needs to make a certain number of boxes. If she makes the boxes at a rate of 16 boxes per hour, she will take 2 hours longer than if she works at a rate of 18 boxes per hour. How many boxes does Alice need to make? \n" ); document.write( "------------------ \n" ); document.write( "Original DATA: \n" ); document.write( "# of boxes needed:\"x\";rate=16boxes/hr;time=x boxes/16 boxes/hr = x/16 hrs \n" ); document.write( "------ \n" ); document.write( "New DATA: \n" ); document.write( "# of boxes needed:\"x\";rate=18boxes/hr;time=x boxes/18 boxes/rs = x/18 hrs \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "old time - new time = 2 hrs \n" ); document.write( "x/16 - x/18 = 2 \n" ); document.write( "--- \n" ); document.write( "18x - 16x = 2*16*18 \n" ); document.write( "2x = 2*16*18 \n" ); document.write( "x = 16*18 = 288 boxes (# of boxes Alice needs to make) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " \n" ); document.write( " |