document.write( "Question 1103702: Two factory plants are making TV panels. Yesterday, Plant A produced
\n" ); document.write( "16,000
\n" ); document.write( " panels. Two percent of the panels from Plant A and
\n" ); document.write( "5%
\n" ); document.write( " 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
\n" ); document.write( "3%
\n" ); document.write( "? \r
\n" ); document.write( "\n" ); document.write( "Answer: Number of panels produced by plant B: ? \n" ); document.write( "

Algebra.Com's Answer #718454 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Plant A defective panels + Plant B defective panels = 0.03*Defective panels\r\n" );
document.write( "\r\n" );
document.write( "0.02*16000               + 0.05*b                   = 0.03*(16000+b)    (counting defective panels)  ====>\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "320 + 0.05b = 0.03*16000 + 0.03*b\r\n" );
document.write( "\r\n" );
document.write( "320 + 0.05b = 480 + 0.03*b\r\n" );
document.write( "\r\n" );
document.write( "0.05b - 0.03b = 480 - 320 = 160\r\n" );
document.write( "\r\n" );
document.write( "0.02b = 160  ====>  b =  =  = 8000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Plant B produces 8000 panels.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.  0.02*16000 + 0.05*8000 = 720;  0.03*(16000+8000) = 720.   ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This problem (or its TWINS) was solved MANY TIMES in this forum.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To see the history, make a GOOGLE search with keywords\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"Two factory plants are making TV panels. Yesterday, Plant A produced\" algebra.com \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );