document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126557>Question 1126557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A glass is <BR>\n" );
document.write( "1/6 full. Then 95cm3 of orange juice is poured in. <BR>\n" );
document.write( "The glass is now <BR>\n" );
document.write( "4/5 full. <BR>\n" );
document.write( "What is the total volume of the glass?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742863 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=742863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the amount of orange juice in a full glass.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the glass is 1/6 full = 1/6 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "add 95 cubic centimeters and the glass becomes 4/5 full.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equation for that is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/6 * x + 95 = 4/5 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 1/6 * x from both sides of this equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "95 = 4/5 * x - 1/6 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "95 = 24/30 * x - 5/30 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get 95 = 19/30 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "multiply both sides of the equation by 30/19 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30/19 * 95 = 30/19 * 19/30 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30/19 * 95 = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for x to get x = 150.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the volume of the glass is 150 cubic centimeters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/6 * 150 = 25<BR>\n" );
document.write( "4/5 * 150 = 120\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the difference between 4/5 full and 1/6 full is 95 cubic centimeters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution looks good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution is that the volume of the glass is 150 cubic centimeters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );