document.write( "Question 1143540: A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 0.5 hours and the material costs $10. Method II takes 2.0 hours, and the material costs $4. Next week, they plan to spend 85 hours in labor and $476 in material for refinishing tables. How many tables should they plan to refinish with each method? \n" ); document.write( "
Algebra.Com's Answer #764363 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x= the number of tables by Method I and y = the number of tables by Method II.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The condition / (assumption) that all resources are used, gives these two equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.5x + 2y = 85 (hours used) (1)\r\n" ); document.write( "\r\n" ); document.write( " 10x + 4y = 476 (money used) (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Solve it by the Elimination method to get the \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Fortunately, it has the solution in integer numbers.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. x= 34 tables by the Method I and y= 34 tables by the Method II.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |