document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151225>Question 151225</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "Can someone please help me with this math problem it is from the college algebra math book. \r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Droxygirl1001\r<BR>\n" );
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document.write( "Problem: A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller.\r<BR>\n" );
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document.write( "(1)   Set up a system of equations to model this scenario.\r<BR>\n" );
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document.write( "(2)   Use determinants and Cramer’s rule to determine how many boys and how many girls were in the survey.\r<BR>\n" );
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document.write( "(3)   Answer the question in (2) by using inverse matrices.\r<BR>\n" );
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document.write( "(4)   Compare the two methods. When might one method be better than another method for solving a system?  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111121 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=111121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller. <BR>\n" );
document.write( "(1) Set up a system of equations to model this scenario.<BR>\n" );
document.write( "Let the number of boys be \"b\": <BR>\n" );
document.write( "Let the number of girls be \"g\":<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "b + g = 615<BR>\n" );
document.write( "0.44b + 0.35g = 231 <BR>\n" );
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document.write( "(2) Use determinants and Cramer’s rule to determine how many boys and how many girls were in the survey.<BR>\n" );
document.write( "b = 175<BR>\n" );
document.write( "g = 440<BR>\n" );
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document.write( "(3) Answer the question in (2) by using inverse matrices.---<BR>\n" );
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document.write( "(4) Compare the two methods. When might one method be better than another method for solving a system? <BR>\n" );
document.write( "Using the inverse method is much faster.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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