document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116090>Question 1116090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gaby's piggy bank contains nickels and quarters worth $5.80.  If she has 52 coins in all, how many of each does she have? </SPAN>\n" );
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document.write( "If all 52 coins were nickels, the value would be 52*5 = 260 cents, or $2.60.<br><BR>\n" );
document.write( "The actual value is $5.80, which is $3.20 more, or 320 cents more.<br><BR>\n" );
document.write( "Each quarter is worth 20 cents more than each nickel.  To make that additional 320 cents, the number of nickels we need to replace with quarters is 320/20 =16.<br><BR>\n" );
document.write( "So there are 16 quarters; that means 52-16 = 36 dimes.<br><BR>\n" );
document.write( "Check: 16(25)+36(5) = 400+180 = 580 cents = $5.80<br><BR>\n" );
document.write( "Algebraically....<br><BR>\n" );
document.write( "let x = number of quarters<BR>\n" );
document.write( "then 52-x = number of nickels<br><BR>\n" );
document.write( "The total value is 580 cents:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%28x%29%2B5%2852-x%29+=+580 ALIGN=MIDDLE  ALT=\"25%28x%29%2B5%2852-x%29+=+580\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B260-5x+=+580 ALIGN=MIDDLE  ALT=\"25x%2B260-5x+=+580\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x+=+320 ALIGN=MIDDLE  ALT=\"20x+=+320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+16 ALIGN=MIDDLE  ALT=\"x+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Answer: quarters = x = 16; nickels = 52-x = 36 </SPAN>\n" );
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