document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935847>Question 935847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> G'day,\r<BR>\n" );
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document.write( "Thanks in advance for taking the time to answer my question.\r<BR>\n" );
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document.write( "Here it is:\r<BR>\n" );
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document.write( "A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin.\r<BR>\n" );
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document.write( "I'm not even sure how to build the equation for this problem.\r<BR>\n" );
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document.write( "Let:\r<BR>\n" );
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document.write( "Number of dimes = d\r<BR>\n" );
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document.write( "Number of quarters = 3d\r<BR>\n" );
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document.write( "Number of half dollars = 0.5(70) - 4d ???\r<BR>\n" );
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document.write( "If you could help me write this equation it would be most appreciated.\r<BR>\n" );
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document.write( "Thank you so much!\r<BR>\n" );
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document.write( "Kind regards,\r<BR>\n" );
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document.write( "Mark Beaton </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569174 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of dimes<BR>\n" );
document.write( "y = number of quarters<BR>\n" );
document.write( "z = number of half-dollars<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y + z = 70<BR>\n" );
document.write( "10x + 25y + 50z = 1775<BR>\n" );
document.write( "y = 3x<BR>\n" );
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document.write( "put the system of linear equations into standard form<BR>\n" );
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document.write( "x + y + z = 70<BR>\n" );
document.write( "10x + 25y + 50z = 1775<BR>\n" );
document.write( "3x - y = 0<BR>\n" );
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document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = number of dimes = 15<BR>\n" );
document.write( "y = number of quarters = 45<BR>\n" );
document.write( "z = number of half-dollars = 10<BR>\n" );
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document.write( "now by elimination:<BR>\n" );
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document.write( "x + y + z = 70<BR>\n" );
document.write( "3x - y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add the above two equations:<BR>\n" );
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document.write( "4x + z = 70<BR>\n" );
document.write( "---<BR>\n" );
document.write( "10x + 25y + 50z = 1775<BR>\n" );
document.write( "25(3x - y = 0)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add the above two equations:<BR>\n" );
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document.write( "85x + 50z = 1775<BR>\n" );
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document.write( "-50(4x + z = 70)<BR>\n" );
document.write( "85x + 50z = 1775<BR>\n" );
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document.write( "add the above two equations:<BR>\n" );
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document.write( "-115x = 1775 - 3500<BR>\n" );
document.write( "x = (1775 - 3500)/-115<BR>\n" );
document.write( "x = 15<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x - y = 0<BR>\n" );
document.write( "y = 3*15<BR>\n" );
document.write( "y = 45<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4x + z = 70<BR>\n" );
document.write( "4*15 + z = 70<BR>\n" );
document.write( "z = 10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution by elimination:<BR>\n" );
document.write( "x = number of dimes = 15<BR>\n" );
document.write( "y = number of quarters = 45<BR>\n" );
document.write( "z = number of half-dollars = 10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );