document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124107>Question 124107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kim has $210 in $5 bills and $20 bills.  She has a total of 24 bills.  How many $5 bills and how many $20 bills does she have?\r<BR>\n" );
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document.write( "Please show me the step by step solution.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91077 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kim has $210 in $5 bills and $20 bills. She has a total of 24 bills. How many $5 bills and how many $20 bills does she have? <BR>\n" );
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document.write( "Let x = no. of $5 bills<BR>\n" );
document.write( "Let y = no. of $20 bills<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( "\"Kim has $210 in $5 bills and $20 bills.\"<BR>\n" );
document.write( " 5x + 20y = 210<BR>\n" );
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document.write( "\"She has a total of 24 bills.\"<BR>\n" );
document.write( "  x + y = 24<BR>\n" );
document.write( "  x = (24 - y) subtracted y from both sides, we are going to use this for substitution in the 1st equation<BR>\n" );
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document.write( " How many $5 bills and how many $20 bills does she have?<BR>\n" );
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document.write( "Using this equation; 5x + 20y = 210, substitute (24-y) for x, solve for y<BR>\n" );
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document.write( "5(24-y) + 20y = 210<BR>\n" );
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document.write( "120 - 5y + 20y = 210; multiplied what's inside the brackets<BR>\n" );
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document.write( "-5y + 20y = 210 - 120; subtracted 120 from both sides<BR>\n" );
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document.write( "15y = 90<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F15 ALIGN=MIDDLE  ALT=\"90%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >; divided both sides by 15<BR>\n" );
document.write( "y = 6 ea $20 bills <BR>\n" );
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document.write( "We know x = 24 - y; substitute 6 for y<BR>\n" );
document.write( "x = 24 - 6<BR>\n" );
document.write( "x = 18 ea $5 bills<BR>\n" );
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document.write( "Check our solution in the $equation<BR>\n" );
document.write( "18(5) + 6(20) = <BR>\n" );
document.write( "90 + 120 = 210; confirms our solution<BR>\n" );
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document.write( "Was this step-by-step enough for you? Any questions? </SPAN>\n" );
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