document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205856>Question 1205856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "When a cup is 40% full it has a mass of 158.3g. When it is 60% full it has a mass of 189.5g. What is the mass When it is 100% full. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842922 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the mass of the cup = y<BR>\n" );
document.write( "your two equations that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "y + .4x = 158.3<BR>\n" );
document.write( "y + .6x = 189.5\r<BR>\n" );
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document.write( "subtract the first equation from the second to get:\r<BR>\n" );
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document.write( ".2x = 31.2\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 31.2 / .2 = 156.\r<BR>\n" );
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document.write( "replace x in the first of the original equations to get:\r<BR>\n" );
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document.write( "y + .4 * 156 = 158.3<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 158.3 - .4 * 156 = 95.9\r<BR>\n" );
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document.write( "that's the mass of the cup.\r<BR>\n" );
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document.write( "the mass of a full cup will be 95.9 + 156 = 251.9 grams.\r<BR>\n" );
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document.write( "the equation can be graphed.\r<BR>\n" );
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document.write( "here's what it looks like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2024/012801.jpg\">\r<BR>\n" );
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document.write( "the equation is in slope intercept form.<BR>\n" );
document.write( "the y-intercept is 95.9 which is the weight of the cup without any mass in it.<BR>\n" );
document.write( "the slope is 156 which is the number of grams of mass in a full cup.<BR>\n" );
document.write( "the value of x goes from 0 to 1, representing the proportion of mass in the cup from the time it's empty to the time it's full.<BR>\n" );
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