document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189607>Question 1189607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ashley had 24 math problems for her homework. Her father made the following deal with her.  He said \"I'll give you $5 for every problem you got right, but you pay me $3 for every problem you got wrong.\" If Ashley broke even on this deal, how many problems did she get correct? Write an equation to solve the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821010 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number right.<BR>\n" );
document.write( "let y = the number wrong.\r<BR>\n" );
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document.write( "x + y = 24<BR>\n" );
document.write( "5x - 3y = 0\r<BR>\n" );
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document.write( "these 2 equations need to be solved simultaneously.<BR>\n" );
document.write( "the first equation tells you the total number right and wrong.<BR>\n" );
document.write( "the second equation tells you the the scores for the number right and the scores for the number wrong.\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 5 and leave the second equation as is to get:\r<BR>\n" );
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document.write( "5x + 5y = 120<BR>\n" );
document.write( "5x - 3y = 0\r<BR>\n" );
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document.write( "subtract the second equation from the first to get 8y = 120\r<BR>\n" );
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document.write( "solve for y to get y = 120 / 8 = 15.\r<BR>\n" );
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document.write( "this makes x = 9 because 15 + 9 = 24.\r<BR>\n" );
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document.write( "5x - 3y becomes 5 * 9 - 3 * 15 which becomes 45 - 45 = 0.\r<BR>\n" );
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document.write( "that confirms the values of x and y are good.\r<BR>\n" );
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document.write( "the solution is that she got 9 correct and 15 wrong.\r<BR>\n" );
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document.write( "the two equations that needs to be solved simultaneously were:\r<BR>\n" );
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document.write( "x + y = 24<BR>\n" );
document.write( "5x - 3y = 0\r<BR>\n" );
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document.write( " </SPAN>\n" );
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