document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=413042>Question 413042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a certain mixture is made by mixing two ingredients in the ratio 7 to 8.  if it is required to make 30 pounds of mixture, how much of each ingredient will be needed? The first pound and second pound ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289978 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=289978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 ingredients:\r<BR>\n" );
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document.write( "let x = amount of first ingredient.<BR>\n" );
document.write( "let y = amount of second ingredient.\r<BR>\n" );
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document.write( "they are in a ratio of 7 to 8.\r<BR>\n" );
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document.write( "this means that x/y = 7/8\r<BR>\n" );
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document.write( "multiply both sides of this equation by (8/7)*y to get:\r<BR>\n" );
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document.write( "8/7 * x = y\r<BR>\n" );
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document.write( "if the new mixture contains 30 pounds, then x + y = 30\r<BR>\n" );
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document.write( "substitute 8/7*x for y to get:\r<BR>\n" );
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document.write( "x + 8/7*x = 30\r<BR>\n" );
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document.write( "multiply both sides of this equation by 7 to get:\r<BR>\n" );
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document.write( "7x + 8x = 30*7 which becomes:\r<BR>\n" );
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document.write( "15x = 30*7\r<BR>\n" );
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document.write( "divide both sides of this equation by 15 to get:\r<BR>\n" );
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document.write( "x = 30/15 * 7 = 2 * 7 = 14\r<BR>\n" );
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document.write( "since x + y = 30, then y = 16\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x = 14 = number of pounds in first ingredient.<BR>\n" );
document.write( "y = 16 = number of pounds in second ingredient.\r<BR>\n" );
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document.write( "x + y = 14 + 16 = 30 (good)\r<BR>\n" );
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document.write( "x/y = 14/16 = 7/8 (good)\r<BR>\n" );
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document.write( "that's your answer.\r<BR>\n" );
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document.write( "number of pounds of first ingredient is 14.<BR>\n" );
document.write( "number of pounds of second ingredient is 16.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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