document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=569730>Question 569730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with these two word problems\r<BR>\n" );
document.write( "\n" );
document.write( "In 2005, there were 66,000 new cases of skin cancer in the United States. Men <BR>\n" );
document.write( "represented 10,000 more cases than women.  How many new cases of skin cancer <BR>\n" );
document.write( "were there for men and for women?\r<BR>\n" );
document.write( "\n" );
document.write( "A boat can travel 36 miles upstream in the same time that it can travel 54 miles <BR>\n" );
document.write( "downstream. If the speed of the current is 3 miles per  hour, what is the speed <BR>\n" );
document.write( "of the boat without a current?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367437 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=367437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 2005, there were 66,000 new cases of skin cancer in the United States. Men <BR>\n" );
document.write( "represented 10,000 more cases than women. How many new cases of skin cancer <BR>\n" );
document.write( "were there for men and for women?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of female cases: x<BR>\n" );
document.write( "# of male cases: x + 10,000<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x + x+10000 = 66000<BR>\n" );
document.write( "2x = 56000<BR>\n" );
document.write( "x = 28000 (female cases)<BR>\n" );
document.write( "x+10000 = 38000 (male cases)<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( " <BR>\n" );
document.write( "A boat can travel 36 miles upstream in the same time that it can travel 54 miles downstream. If the speed of the current is 3 miles per hour, what is the speed of the boat without a current? <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Upstream DATA:<BR>\n" );
document.write( "distance = 36 miles ; rate = b-3 mph ; time = 36/(b-3) hrs<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Downstream DATA:<BR>\n" );
document.write( "distance = 54 miles ; rate = b+3 mph ; time = 54/(b+3) hrs<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time = time<BR>\n" );
document.write( "36/(b-3) = 54(b+3)<BR>\n" );
document.write( "2/(b-3) = 3/(b+3)<BR>\n" );
document.write( "Cross-multiply:<BR>\n" );
document.write( "2b+6 = 3b-9<BR>\n" );
document.write( "b = 15 (speed of the boat in still water)<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );