document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086082>Question 1086082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In New York, the verrazano bridge charges a toll of $15. Thr Bronx-Whitestone bridge.charges $7.50. Suppose you use each.bridge some number of times, for a total of 11 uses. If you spend 105 in total on tolls, how many times did you use each bridge? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700228 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=700228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">Let<BR>\n" );
document.write( "x = number of times the Verrazano bridge is crossed<BR>\n" );
document.write( "y = number of times the Bronx-Whitestone bridge is crossed<BR>\n" );
document.write( "x and y are positive whole numbers\r<BR>\n" );
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document.write( "They must add to 11 because we're told \"you use each bridge...for a total of 11 uses\"<BR>\n" );
document.write( "x+y = 11\r<BR>\n" );
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document.write( "Solve for y to get<BR>\n" );
document.write( "x+y = 11<BR>\n" );
document.write( "x+y-x = 11-x<BR>\n" );
document.write( "y = 11-x<BR>\n" );
document.write( "We'll use this equation later\r<BR>\n" );
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document.write( "It costs $15 to cross the Verrazano bridge. If you cross it x times, then you spend 15*x dollars for this bridge alone.\r<BR>\n" );
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document.write( "It costs $7.50 to cross the Bronx-Whitestone bridge. If you cross this bridge y times, then it costs 7.50*y dollars just for this bridge alone\r<BR>\n" );
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document.write( "In total, it will cost you 15*x + 7.50*y dollars for both bridges combined. This total is equal to $105.\r<BR>\n" );
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document.write( "So we have this equation<BR>\n" );
document.write( "15*x + 7.50*y = 105\r<BR>\n" );
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document.write( "Replace y with 11-x. This works because y = 11-x is the equation we found earlier<BR>\n" );
document.write( "15*x + 7.50*y = 105<BR>\n" );
document.write( "15*x + 7.50*( y ) = 105<BR>\n" );
document.write( "15*x + 7.50*( 11-x ) = 105\r<BR>\n" );
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document.write( "Now solve for x<BR>\n" );
document.write( "15*x + 7.50*( 11-x ) = 105<BR>\n" );
document.write( "15*x + 7.50*( 11 ) + 7.50*( -x ) = 105<BR>\n" );
document.write( "15*x + 82.5 - 7.50*x = 105<BR>\n" );
document.write( "7.5*x + 82.5 = 105<BR>\n" );
document.write( "7.5*x + 82.5 - 82.5 = 105 - 82.5<BR>\n" );
document.write( "7.5*x =  22.5<BR>\n" );
document.write( "7.5*x/7.5 =  22.5/7.5<BR>\n" );
document.write( "x =  3\r<BR>\n" );
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document.write( "<font color=red>You used the Verrazano bridge 3 times</font>\r<BR>\n" );
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document.write( "Use x = 3 to find y<BR>\n" );
document.write( "y = 11-x<BR>\n" );
document.write( "y = 11-3<BR>\n" );
document.write( "y = 8\r<BR>\n" );
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document.write( "<font color=red>You used the Bronx-Whitestone bridge 8 times</font><BR>\n" );
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