document.write( "Question 1196215: Two factory plants are making TV panels. Yesterday, Plant A produced 3000 panels. Ten percent of the panels from Plant A and 3%of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 6% ?
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Algebra.Com's Answer #828957 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Two factory plants are making TV panels. Yesterday, Plant A produced 3000 panels. \n" ); document.write( "Ten percent of the panels from Plant A and 3%of the panels from Plant B were defective. \n" ); document.write( "How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 6% ? \n" ); document.write( "~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x = How many panels did Plant B produce.\r\n" ); document.write( "\r\n" ); document.write( "The number of defective panels from plant A is 0.1*3000.\r\n" ); document.write( "\r\n" ); document.write( "The number of defective panels from plant B is 0.03*x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total defective panels from both plants is\r\n" ); document.write( "\r\n" ); document.write( " 0.1*3000 + 0.03x = 0.06*(3000+x).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 300 + 0.03x = 180 + 0.06x\r\n" ); document.write( "\r\n" ); document.write( " 300 - 180 = 0.06x - 0.03x\r\n" ); document.write( "\r\n" ); document.write( " 120 = 0.03x\r\n" ); document.write( "\r\n" ); document.write( " x = 120/0.03 = 4000.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. Plant B produced 4000 panels.\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( " \n" ); document.write( " |