document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179675>Question 1179675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For using a computerized financial news network for 45 min during prime time and 80 min during non-prime time, a customer was charged $11.85. A second customer was charged $15.20 for using the network for 65 min of prime time and 90 min of non-prime time. Find the cost per minute for using the financial news network during prime time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850189 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to solve this problem:\r<BR>\n" );
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document.write( "**1. Set up the Equations:**\r<BR>\n" );
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document.write( "* Let 'x' be the cost per minute for prime time.<BR>\n" );
document.write( "* Let 'y' be the cost per minute for non-prime time.\r<BR>\n" );
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document.write( "We can create two equations based on the given information:\r<BR>\n" );
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document.write( "* Equation 1: 45x + 80y = 11.85<BR>\n" );
document.write( "* Equation 2: 65x + 90y = 15.20\r<BR>\n" );
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document.write( "**2. Solve the System of Equations:**\r<BR>\n" );
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document.write( "We can use various methods to solve this, such as substitution or elimination. Here, I'll use elimination:\r<BR>\n" );
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document.write( "* Multiply Equation 1 by 9: 405x + 720y = 106.65<BR>\n" );
document.write( "* Multiply Equation 2 by 8: 520x + 720y = 121.60\r<BR>\n" );
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document.write( "* Subtract the first modified equation from the second:<BR>\n" );
document.write( "    * (520x - 405x) + (720y - 720y) = 121.60 - 106.65<BR>\n" );
document.write( "    * 115x = 14.95\r<BR>\n" );
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document.write( "* Solve for x:<BR>\n" );
document.write( "    * x = 14.95 / 115<BR>\n" );
document.write( "    * x = 0.13\r<BR>\n" );
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document.write( "**3. Find the Value of y (optional):**\r<BR>\n" );
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document.write( "* Substitute x = 0.13 into Equation 1:<BR>\n" );
document.write( "    * 45(0.13) + 80y = 11.85<BR>\n" );
document.write( "    * 5.85 + 80y = 11.85<BR>\n" );
document.write( "    * 80y = 6<BR>\n" );
document.write( "    * y = 6 / 80<BR>\n" );
document.write( "    * y = 0.075\r<BR>\n" );
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document.write( "**Answer:**\r<BR>\n" );
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document.write( "The cost per minute for using the financial news network during prime time is $0.13.<BR>\n" );
document.write( " </SPAN>\n" );
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