document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885477>Question 885477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tia and Lamar are making a scale model of a lighthouse. The actual lighthouse is 175 feet high. The scale for the model is 4 feet : 1/2 inch. How tall should their scale model be?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535225 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=535225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lighthouse is 175 feet high.<BR>\n" );
document.write( "scale model is 4 feet : 1/2 inch.<BR>\n" );
document.write( "this means that every half inch is equal to 4 feet.<BR>\n" );
document.write( "you set up a ratio:<BR>\n" );
document.write( "175 / x = 4 / (1/2)<BR>\n" );
document.write( "this ratio means:<BR>\n" );
document.write( "175 feet is to x inches as 4 feet is to 1/2 inch.<BR>\n" );
document.write( "you can cross multiply to solve, but we'll do it a different, but equivalent, way.<BR>\n" );
document.write( "4 / (1/2) is equal to 8, so your equation becomes:<BR>\n" );
document.write( "175 / x = 8<BR>\n" );
document.write( "multiply both sides of this equation by x and divide both sides of this equation by 8 to get:<BR>\n" );
document.write( "175 / 8 = x<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "x = 21.875 inches.\r<BR>\n" );
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document.write( "your scale model should be 21.875 inches high.<BR>\n" );
document.write( "since each 1/2 inch represents 4 feet, this means that each inch represents 8 feet and 21.875 * 8 = 175 feet which means the scale is correct.<BR>\n" );
document.write( "21.875 inches is the same as 21 and 7/8 inches.\r<BR>\n" );
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document.write( "if you had cross multiplied you would have gotten the following:<BR>\n" );
document.write( "175/x = 4/(1/2)<BR>\n" );
document.write( "cross multiply to get:<BR>\n" );
document.write( "4x = (1/2)*175<BR>\n" );
document.write( "divide both sides of this equation by 4 to get:<BR>\n" );
document.write( "x = (1/2) * 175 / 4 which becomes:<BR>\n" );
document.write( "x = 175 / 8 which becomes:<BR>\n" );
document.write( "x = 21.875\r<BR>\n" );
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document.write( "another way to look at it.<BR>\n" );
document.write( "your lighthouse is 175 feet high.<BR>\n" );
document.write( "the scale is 4 feet for every 1/2 inch.<BR>\n" );
document.write( "divide 175 by 4 to get 43.75<BR>\n" );
document.write( "this means that the scale model is equal to 43.75 half inch segments.<BR>\n" );
document.write( "43.75 half inch segments is equal to 21.875 full inch segments.<BR>\n" );
document.write( "the height of the tower is modeled by 21.875 inches in height.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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