document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206048>Question 206048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on making a system of equations based on a word problem. Here is the problem: Tricia and Michael share a cell phone plan, together; they made a total of 52 calls last month for a total of 620 minutes. Tricia averaged 15 minutes for each of her calls, while Michael averaged 10 minutes.\r<BR>\n" );
document.write( "\n" );
document.write( "-How many calls did Tricia make last month?\r<BR>\n" );
document.write( "\n" );
document.write( "-How many calls did Michael make last month?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155611 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = # of calls Tricia made and y = # of calls Michael made\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Because \"they made a total of 52 calls\", this means that the sum of their calls will be 52. This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=52 ALIGN=MIDDLE  ALT=\"x%2By=52\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since \"Tricia averaged 15 minutes\" per call, this means that she talked a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x ALIGN=MIDDLE  ALT=\"15x\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes (ie multiply the time per call by the number of calls to get the total). Likewise, since \"Michael averaged 10 minutes\" per call, we know that Michael consumed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y ALIGN=MIDDLE  ALT=\"10y\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes total. Add these totals up and set them equal to the final tally 620 to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2B10y=620 ALIGN=MIDDLE  ALT=\"15x%2B10y=620\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we now have the system of equations\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=52%2C15x%2B10y=620%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=52%2C15x%2B10y=620%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll let you solve for x and y. Let me know if you still need help. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );