document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=642011>Question 642011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has 19 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $ 3.25, how many dimes and how many quarters does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403931 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d = the number of dimes<BR>\n" );
document.write( "Let q = the number of quarters<BR>\n" );
document.write( "the total number of coins is the sum of dimes and quarters giving<BR>\n" );
document.write( "(1) d + q = 19<BR>\n" );
document.write( "Now count up the value of your coins in CENTS. Each dime is ten cents and each quater is 25 cents, the total is $3.25 or 325 CENTS<BR>\n" );
document.write( "(2) 10*d + 25*q = 325<BR>\n" );
document.write( "Divide out 5 from (2) to simplify to <BR>\n" );
document.write( "(3) 2d + 5q = 65<BR>\n" );
document.write( "Now solve (1) and (3) simultaneously to yield<BR>\n" );
document.write( "(4) d = 10 and q = 9<BR>\n" );
document.write( "Right? Yes!<BR>\n" );
document.write( "Because (10 + 9) = 19 and 10 dimes is $1 and 9 quarters is $2.25, giving a total of $3.25. </SPAN>\n" );
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