document.write( "Question 658996: A furniture shop refurnishes tables. Employees use 1 of two methods to refinish each table. Method I takes 1 hour to finish and the material costs $7. method II takes 1.5 hours, and the material costs $6. Next week, they plan to spend 88 hours in labor and $526 in material for refinishing tables. How many tables should they plan to refinish with each method?
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Algebra.Com's Answer #410581 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = # of tables made with method 1, y = # of tables made with method 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hours:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1x+1.5y = 88\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 88 - 1.5y\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cost:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x+6y = 526\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7(88 - 1.5y)+6y = 526\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7(88-15y)+6y=526\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "616-10.5y+6y=526\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4.5y+616=526\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4.5y=526-616\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4.5y=-90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=(-90)/(-4.5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 88 - 1.5y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 88 - 1.5(20)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 58\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you should make 58 tables using method 1 and 20 tables using method 2 \n" ); document.write( " |