document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834220>Question 834220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I figure out this problem?<BR>\n" );
document.write( "Katie has $880 n $5 bills and $20 bills. If she has four more twenties than fives, how many $20 bills does she have?<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 #502868 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=502868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> She has a total of $880 in five dollar bills and 20 dollar bills.<BR>\n" );
document.write( "she has four more twenties than fives.<BR>\n" );
document.write( "how many 20 dollar bills does she have.\r<BR>\n" );
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document.write( "let x = number of 5 dollar bills and y = number of 20 dollar bills.\r<BR>\n" );
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document.write( "5x + 20y = 880 is your first equation.\r<BR>\n" );
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document.write( "this equation is the equation that counts up the total money based on the different bills that she has.\r<BR>\n" );
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document.write( "y = x + 4 is your second equation.\r<BR>\n" );
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document.write( "this equation give you the relationship between the number of five dollar bills she has and the number of 20 dollar bills that she has.\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "5x + 20y = 880<BR>\n" );
document.write( "y = x + 4\r<BR>\n" );
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document.write( "substitute y = x + 4 for y in the first equation to get:\r<BR>\n" );
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document.write( "5x + 20(x + 4) = 880\r<BR>\n" );
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document.write( "solve for x in this equation.\r<BR>\n" );
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document.write( "start with:<BR>\n" );
document.write( "5x + 20(x+4) = 880<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "5x + 20x + 80 = 880<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "25x + 80 = 880<BR>\n" );
document.write( "subtract 80 from both sides of this equation to get:<BR>\n" );
document.write( "25x = 800<BR>\n" );
document.write( "divide both sides of this equation by 25 to get:<BR>\n" );
document.write( "x = 800 / 25 = 32\r<BR>\n" );
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document.write( "x is the number of 5 dollar bills.<BR>\n" );
document.write( "since y = x + 4, then y = 36 = the number of 20 dollar bills.\r<BR>\n" );
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document.write( "so x = 32 and y = 36\r<BR>\n" );
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document.write( "she has 32 five dollar bills and 36 twenty dollar bills.\r<BR>\n" );
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document.write( "32 * 5 = 160 dollars<BR>\n" );
document.write( "36 * 20 = 720 dollars<BR>\n" );
document.write( "720 + 160 = 880 dollars\r<BR>\n" );
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document.write( "numbers check out and the solution is good.\r<BR>\n" );
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document.write( "she has 32 five dollar bills and 36 twenty dollar bills.<BR>\n" );
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