document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100355>Question 1100355</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Sam has $3.15 in quarters nickels and dimes he has half as many quarters as he has dimes and nickels together he also has two more nickels than dimes how many of each coin are there  </SPAN>\n" );
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document.write( "He has two more nickels than dimes:<BR>\n" );
document.write( "let x = # of dimes<BR>\n" );
document.write( "then x+2 = # of nickels<br><BR>\n" );
document.write( "He has half as many quarters as nickels and dimes together:<BR>\n" );
document.write( "# of nickels and dimes together = x + (x+2) = 2x+2<BR>\n" );
document.write( "# of quarters = (1/2)(2x+2) = x+1<br><BR>\n" );
document.write( "The total value of the coins is $3.15, or 315 cents:<BR>\n" );
document.write( "10(x)+5(x+2)+25(x+1)=315<BR>\n" );
document.write( "10x+5x+10+25x+25=315<BR>\n" );
document.write( "40x=280<BR>\n" );
document.write( "x=280/40=7<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "nickels: x+2 = 9<BR>\n" );
document.write( "dimes: x = 7<BR>\n" );
document.write( "quarters: +1 = 8<br><BR>\n" );
document.write( "CHECK: 9(5)+7(10)+8(25) = 45+70+200 = 315<br>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );