document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998159>Question 998159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Collin has $1.27 in quarters, nickels, and pennies. He has twice as many quarters as pennies. He has 11 coins total. How many of each coin does he have total? </SPAN>\n" );
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document.write( "Solve the problem using logical reasoning and simple mental arithmetic.<br><BR>\n" );
document.write( "(1) A total of 127 cents with 11 coins means there must be 2 pennies.<br><BR>\n" );
document.write( "(2) Then, since the number of quarters is twice the number of pennies, the number of quarters is 4.<BR>\n" );
document.write( "(3) That makes 6 coins with a total value of $1.02.<BR>\n" );
document.write( "(4) The remaining 25 cents is made up of 5 nickels.<br><BR>\n" );
document.write( "ANSWER: 2 pennies, 4 quarters, 5 nickels.<br><BR>\n" );
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document.write( "If you need a solution using formal algebra, set the problem up using a single variable -- not three different variables for the numbers of pennies, nickels, and quarters.<br><BR>\n" );
document.write( "Let x = # of pennies<BR>\n" );
document.write( "Then 2x = # of quarters<BR>\n" );
document.write( "Then 11-3x = # of nickels.<br><BR>\n" );
document.write( "The total value of the coins is 127 cents.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x%29%2B25%282x%29%2B5%2811-3x%29+=+127 ALIGN=MIDDLE  ALT=\"1%28x%29%2B25%282x%29%2B5%2811-3x%29+=+127\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B50x%2B55-15x+=+127 ALIGN=MIDDLE  ALT=\"x%2B50x%2B55-15x+=+127\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x+=+72 ALIGN=MIDDLE  ALT=\"36x+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "# of pennies: x = 2<BR>\n" );
document.write( "# of quarters: 2x = 4<BR>\n" );
document.write( "# of nickels: 11-3x = 5<br><BR>\n" );
document.write( " </SPAN>\n" );
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