document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220971>Question 220971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a jar containing 80 coins<BR>\n" );
document.write( "either nickels or quarters<BR>\n" );
document.write( "total value is $14.60<BR>\n" );
document.write( "How many of each coin do I have </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165763 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have a jar containing 80 coins<BR>\n" );
document.write( "either nickels or quarters<BR>\n" );
document.write( "total value is $14.60<BR>\n" );
document.write( "How many of each coin do I have\r<BR>\n" );
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document.write( "Step 1.  Let x be the number of nickels.\r<BR>\n" );
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document.write( "Step 2.  Let 0.05x be the dollar value of nickels.\r<BR>\n" );
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document.write( "Step 3.  let y be the number of quarters.\r<BR>\n" );
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document.write( "Step 4.  let 0.25y be the dollar value of quarters.\r<BR>\n" );
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document.write( "Step 5.  0.05x+0.25y=14.60 as given by the problem.\r<BR>\n" );
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document.write( "Step 6.  x+y=80\r<BR>\n" );
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document.write( "Step 7.  Then we have a system of equation in Steps 5 and 6.\r<BR>\n" );
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document.write( "0.05x+0.25y=14.60<BR>\n" );
document.write( "x+y=80\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "5x+25y=1460<BR>\n" );
document.write( "x+y=80\r<BR>\n" );
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document.write( "Step 8.  Solving using the substitution method yields.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++5%5Cx+%2B+25%5Cy+=+1460%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+80+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++5%5Cx+%2B+25%5Cy+=+1460%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+80+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 25*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ax+=+1460+-+25%2Ay ALIGN=MIDDLE  ALT=\"5%2Ax+=+1460+-+25%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1460%2F5+-+25%2Ay%2F5 ALIGN=MIDDLE  ALT=\"x+=+1460%2F5+-+25%2Ay%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A%281460%2F5+-+25%2Ay%2F5%29+%2B+1%5Cy+=+80 ALIGN=MIDDLE  ALT=\"1%2A%281460%2F5+-+25%2Ay%2F5%29+%2B+1%5Cy+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=53. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1460%2F5+-+25%2Ay%2F5 ALIGN=MIDDLE  ALT=\"x+=+1460%2F5+-+25%2Ay%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=27.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=27%2C+y=53+%29 ALIGN=MIDDLE  ALT=\"system%28+x=27%2C+y=53+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Check 27*0.05+53*0.25=14.60...which is a true statement.\r<BR>\n" );
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document.write( "Step 9.  Then number of nickels is 27 and the number of quarters is 53.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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