document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179673>Question 1179673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are various formulas for calculating ideal body weight. In each of the formulas in this exercise, W is ideal body weight in kilograms, and x is height in inches above 60 in.\r<BR>\n" );
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document.write( "Suppose one researcher gave the following formula for men: <BR>\n" );
document.write( "W = 51 + 1.9x.<BR>\n" );
document.write( " Suppose another researcher published a slightly different formula for men: <BR>\n" );
document.write( "W = 55.2 + 1.44x.<BR>\n" );
document.write( " At what height do both formulas give the same ideal body weight? Round to the nearest whole number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850193 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's solve this problem step-by-step:\r<BR>\n" );
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document.write( "**1. Set the Formulas Equal:**\r<BR>\n" );
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document.write( "We want to find the height (x) where both formulas give the same ideal body weight (W). So we set the two formulas equal to each other:\r<BR>\n" );
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document.write( "51 + 1.9x = 55.2 + 1.44x\r<BR>\n" );
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document.write( "**2. Solve for x:**\r<BR>\n" );
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document.write( "* Subtract 1.44x from both sides:<BR>\n" );
document.write( "   51 + 0.46x = 55.2\r<BR>\n" );
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document.write( "* Subtract 51 from both sides:<BR>\n" );
document.write( "   0.46x = 4.2\r<BR>\n" );
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document.write( "* Divide by 0.46:<BR>\n" );
document.write( "   x = 4.2 / 0.46<BR>\n" );
document.write( "   x ≈ 9.13\r<BR>\n" );
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document.write( "**3. Round to the Nearest Whole Number:**\r<BR>\n" );
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document.write( "* x ≈ 9 inches\r<BR>\n" );
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document.write( "**4. Calculate the Height in Total Inches:**\r<BR>\n" );
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document.write( "* Remember that x is the height in inches above 60 inches.<BR>\n" );
document.write( "* Total height = 60 + x<BR>\n" );
document.write( "* Total height = 60 + 9 = 69 inches\r<BR>\n" );
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document.write( "**Answer:**\r<BR>\n" );
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document.write( "Both formulas give the same ideal body weight at a height of 69 inches.<BR>\n" );
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