document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106195>Question 106195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Standing next to each other, a woman casts a 46.9 inch shadow and her 50 inch tall daughter casts a 35 inch shadow. What is the height of the woman to the nearest inch?\r<BR>\n" );
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document.write( "I tried forming a ratio between the woman and the daughter\r<BR>\n" );
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document.write( "x:46.9= 50: 35\r<BR>\n" );
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document.write( "is this the right way to do it? if not, how can I proceed with the question? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77242 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That is the way to do the problem. You set up the proportion as:<BR>\n" );
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document.write( "Actual height of woman is to woman's shadow as actual height of daughter is to daughter's<BR>\n" );
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document.write( "Since the actual height of the woman is unknown you let x be that height. Then your proportion<BR>\n" );
document.write( "became:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F46.9+=+50%2F35 ALIGN=MIDDLE  ALT=\"x%2F46.9+=+50%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can solve this by cross multiplying. Multiply the numerator of the first ratio  (x) by the<BR>\n" );
document.write( "denominator of the second ratio (35). Set it equal to the product you get when you multiply<BR>\n" );
document.write( "the denominator of the first ratio (46.9) times the numerator of the second ratio (50).<BR>\n" );
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document.write( "Can you see why this is called cross multiplying? It is because if you draw lines that <BR>\n" );
document.write( "connect the numbers you are multiplying, it forms a cross that is centered on the equal sign.<BR>\n" );
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document.write( "Anyway, when you cross multiply you get:<BR>\n" );
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document.write( "35x = (46.9)*(50)<BR>\n" );
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document.write( "The right side multiplies out to 2345. So the equation is reduces to:<BR>\n" );
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document.write( "35x = 2345<BR>\n" );
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document.write( "Solve for x by dividing both sides by 35. Your answer when you do that division is the height<BR>\n" );
document.write( "of the woman in inches. So don't forget to label your answer \"inches\".<BR>\n" );
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document.write( "Hope this helps you and shows you how you can solve proportions (two ratios that are equal)<BR>\n" );
document.write( "by cross multiplying. When you use cross multiplying it will work regardless of which <BR>\n" );
document.write( "numerator or denominator is the unknown x.<BR>\n" );
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document.write( "Keep up the good work.<BR>\n" );
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