document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985414>Question 985414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alice is charging her phone and tablet at the same time. The phone has 15% of a charge left and charges at a rate of 8% every 10 minutes. The tablet has a 25% charge left and charges at a rate of 15% every 30 minutes.\r<BR>\n" );
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document.write( "Write a system of equations to represent this situation:<BR>\n" );
document.write( "Phone Charge:_______________ Tablet Charge:________________\r<BR>\n" );
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document.write( "What do the variables represent? ______________________\r<BR>\n" );
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document.write( "Solve this system of equations and show your work.\r<BR>\n" );
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document.write( "When will the phone and tablet have the same charge? ________% / _______mins\r<BR>\n" );
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document.write( "How long will it take for the phone to be fully charged? ________mins\r<BR>\n" );
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document.write( "How long will it take for the tablet to be fully charged? _________mins\r<BR>\n" );
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document.write( "THANK YOU SO MUCH IF U CAN FIGURE THIS OUT, ITS INTEGRATED MATH I QUESTION &#128150;&#128150;&#128150;&#128077;&#128077;&#128077; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606264 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52903)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=606264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "In my view, the presented formulation is ambiguous, and it is the major obstacle in solving it. \r<BR>\n" );
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document.write( "As I understand the situation, &nbsp;there is the phone with the present charge equal to &nbsp;0.15&nbsp; of its full charge capacity. \r<BR>\n" );
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document.write( "It is charging at the rate of &nbsp;0.08&nbsp; of its full charge capacity each &nbsp;10&nbsp; minutes. \r<BR>\n" );
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document.write( "On the other side, &nbsp;there is the tablet, &nbsp;whose present charge is &nbsp;0.25&nbsp; of its full charge capacity. \r<BR>\n" );
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document.write( "It is charging at the rate of &nbsp;0.15&nbsp; of its full charge capacity each 30 minutes. \r<BR>\n" );
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document.write( "Actually, &nbsp;it is a typical problem on &nbsp;\"Travel and Distance\". &nbsp;You have the initial position, &nbsp;the rate, &nbsp;the distance, &nbsp;and you need to find the time. \r<BR>\n" );
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document.write( "For the phone, &nbsp;let &nbsp;<B><U>p</U></B>&nbsp; be the phone current charge during the charging process, &nbsp;measured in units of its full capacity &nbsp;(in \"percentage\", if you want). \r<BR>\n" );
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document.write( "Then the model equation for the phone charging process is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.15 ALIGN=MIDDLE  ALT=\"0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.08%2F10%29%2At ALIGN=MIDDLE  ALT=\"%280.08%2F10%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1)\r<BR>\n" );
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document.write( "where &nbsp;t&nbsp; is time in minutes. \r<BR>\n" );
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document.write( "For the tablet, &nbsp;let &nbsp;<B><U>s</U></B>&nbsp; be the tablet current charge during the charging process, &nbsp;measured in units of its full capacity. \r<BR>\n" );
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document.write( "Then the model equation for the tablet charging process is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25 ALIGN=MIDDLE  ALT=\"0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.15%2F30%29%2At ALIGN=MIDDLE  ALT=\"%280.15%2F30%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2)\r<BR>\n" );
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document.write( "where &nbsp;t&nbsp; is time in minutes. \r<BR>\n" );
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document.write( "Now, &nbsp;let us answer the question: \r<BR>\n" );
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document.write( "How long will it take for the phone to be fully charged?\r<BR>\n" );
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document.write( "To answer it, &nbsp;we should solve the equation &nbsp;p = 1, &nbsp;which takes the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.15 ALIGN=MIDDLE  ALT=\"0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.08%2F10%29%2At ALIGN=MIDDLE  ALT=\"%280.08%2F10%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(3)\r<BR>\n" );
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document.write( "in accordance with &nbsp;(1). \r<BR>\n" );
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document.write( "Should I continue or everything is just clear to you?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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