document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320122>Question 320122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Otis Taylor has a box of coins that he uses when he plays poker with his friends. The box currently contains 44 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $4.37. How many of each denomination of coin does he have in the box?\r<BR>\n" );
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document.write( "Can you help me with this problem? Thank You. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229291 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=229291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The box currently contains 44 coins, consisting of pennies, dimes, and quarters.<BR>\n" );
document.write( " The number of pennies is equal to the number of dimes, and the total value is $4.37.<BR>\n" );
document.write( " How many of each denomination of coin does he have in the box?<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"box currently contains 44 coins,\"<BR>\n" );
document.write( "p + d + q = 44 <BR>\n" );
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document.write( "\"The number of pennies is equal to the number of dimes,\"<BR>\n" );
document.write( "p = d<BR>\n" );
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document.write( "\"the total value is $4.37.\"<BR>\n" );
document.write( ".01p + .10d + .25q = 4.37<BR>\n" );
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document.write( "Substitute d for p in the total coin equation<BR>\n" );
document.write( "d + d + q = 44<BR>\n" );
document.write( "2d + q = 44<BR>\n" );
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document.write( "Substitute d for p in the total value equation<BR>\n" );
document.write( ".01d + .10d + .25q = 4.37<BR>\n" );
document.write( ".11d + .25q = 4.37<BR>\n" );
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document.write( "Now we have two equation for two unknowns<BR>\n" );
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document.write( "Multiply the above equation by 4, subtract from the two unknown coin equation<BR>\n" );
document.write( "2.0d + 1q = 44<BR>\n" );
document.write( ".44d + 1q = 17.48<BR>\n" );
document.write( "------------------subtraction eliminates q, find d<BR>\n" );
document.write( "1.56d = 26.52<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26.52%2F1.56 ALIGN=MIDDLE  ALT=\"26.52%2F1.56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 17 dimes<BR>\n" );
document.write( "we know p = d, therefore:<BR>\n" );
document.write( "17 pennies<BR>\n" );
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document.write( "I'll let you find the number of quarters\r<BR>\n" );
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document.write( " How many of each denomination of coin does he have in the box?  </SPAN>\n" );
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