document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451513>Question 451513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sandy has a total of 41 quarters and nickels. The value of her money is $7.05. How many of each coin does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310481 by </B><A HREF=/tutors/aboutme.mpl?userid=pedjajov><B>pedjajov(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pedjajov><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=310481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's mark:\r<BR>\n" );
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document.write( "  q - number of quarters Sandy has<BR>\n" );
document.write( "  n - number of nickels  Sandy has\r<BR>\n" );
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document.write( "Number of coins Sandy has is \r<BR>\n" );
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document.write( "  q + n = 41\r<BR>\n" );
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document.write( "Everything has to be in the same units so $7.05 = 705 cents<BR>\n" );
document.write( "Value of coins Sandy has is\r<BR>\n" );
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document.write( "  25*q + 5*n = 705\r<BR>\n" );
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document.write( "We have two equations with two variables\r<BR>\n" );
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document.write( "    q +   n = 41, let express q as q = 41 - n<BR>\n" );
document.write( " 25*q + 5*n = 705\r<BR>\n" );
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document.write( " 25*(41-n) + 5*n = 705    , replace q with expression from above<BR>\n" );
document.write( " 1025 - 25*n + 5*n = 705  , multiply <BR>\n" );
document.write( " 1025 - 705 = 25*n - 5*n  , move unknowns to one and numbers to other side<BR>\n" );
document.write( " 320 = 20*n               , combine variables and numbers on each side<BR>\n" );
document.write( " n = 320/20               , invert multiplication\r<BR>\n" );
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document.write( " n = 16, number of nickles Sandy has\r<BR>\n" );
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document.write( " q = 41 - 16              , replace n witht he found value<BR>\n" );
document.write( " q = 25, number of quarters Sandy has\r<BR>\n" );
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document.write( "check: 25*25 + 5*16 = 625 + 80 = 705, OK </SPAN>\n" );
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