document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221190>Question 221190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a group of ten 6- and 12-volt batteries are wired in series.   The sum of their voltages produces a power supply of 84 volts.  How many of each type battery are used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165946 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of ten 6- and 12-volt batteries are wired in series.   The sum of their voltages produces a power supply of 84 volts.  How many of each type battery are used?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 1.  Let x be the number of 6-volt batteries.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 2.  Let 10-x be the number of 12-volt batteries.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 3.  Batteries are connected in series, so 6x is the total voltage from 6-volt batteries and 12(10-x) is the total voltage from 12-volt batteries.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 4.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B12%2810-x%29=84 ALIGN=MIDDLE  ALT=\"6x%2B12%2810-x%29=84\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the sum of their voltages is 84 volts.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 5.  Simplifying the equation in Step 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B120-12x=84 ALIGN=MIDDLE  ALT=\"6x%2B120-12x=84\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B120=84 ALIGN=MIDDLE  ALT=\"-6x%2B120=84\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Add 6x-84 to both sides of the equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B120%2B6x-84=84%2B6x-84 ALIGN=MIDDLE  ALT=\"-6x%2B120%2B6x-84=84%2B6x-84\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=6x ALIGN=MIDDLE  ALT=\"36=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide by 6 to both sides of the equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F6=4x%2F6 ALIGN=MIDDLE  ALT=\"36%2F6=4x%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-x=4 ALIGN=MIDDLE  ALT=\"10-x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check total voltage...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A6%2B4%2A12=36%2B48=84 ALIGN=MIDDLE  ALT=\"6%2A6%2B4%2A12=36%2B48=84\"   DISABLED_style= \"max-width:90%; height:auto;\" >  which is a true statement.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 6:  ANSWER: There are six 6-volt batteries and four 12-volt batteries.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope the above steps and explanation were helpful. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Respectfully, <BR>\n" );
document.write( "Dr J\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );