document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165037>Question 1165037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has a box of coins that he uses when playing poker with friends. The box currently contains 35 coins, consisting of pennies, dimes , and quarters. The number of pennies is equal to the number of dimes, and the total value is $2.90 . How many of each denomination of coins does he have? </SPAN>\n" );
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document.write( "As is nearly always the case, solving the problem using formal algebra will be easier if you take the time to set up the problem using a single variable.<br><BR>\n" );
document.write( "x = # of pennies<BR>\n" );
document.write( "x = # of dimes (same as the number of pennies)<BR>\n" );
document.write( "35-2x = # of quarters (the total number of coins, 35, minus the number of pennies and dimes)<br><BR>\n" );
document.write( "Then use those expressions to write and solve the equation that says the total value of the coins is $2.90, or 290 cents.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2835-2x%29%2B10%28x%29%2B1%28x%29+=+290 ALIGN=MIDDLE  ALT=\"25%2835-2x%29%2B10%28x%29%2B1%28x%29+=+290\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=875-50x%2B10x%2Bx+=+290 ALIGN=MIDDLE  ALT=\"875-50x%2B10x%2Bx+=+290\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=585+=+39x ALIGN=MIDDLE  ALT=\"585+=+39x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+15 ALIGN=MIDDLE  ALT=\"x+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "pennies: x = 15<BR>\n" );
document.write( "dimes: x = 15<BR>\n" );
document.write( "quarters: 35-30 = 5<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "25(5)+10(15)+1(15) = 125+150+15 = 290<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );