document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228328>Question 228328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On your way to the movies you grab 50 coins out of the change dish. There are two fewer dimes than twice the number of quarters and two fewer nickels than three times the number of quarters. You have picked up $5.10, just enough for the matinee. What coins do you have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169517 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=169517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On your way to the movies you grab 50 coins out of the change dish. There are two fewer dimes than twice the number of quarters and two fewer nickels than three times the number of quarters. You have picked up $5.10, just enough for the matinee. What coins do you have?\r<BR>\n" );
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document.write( "Step 1.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number of quarters.\r<BR>\n" );
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document.write( "Step 2.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25x ALIGN=MIDDLE  ALT=\"0.25x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the dollar value of quarters.\r<BR>\n" );
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document.write( "Step 3.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2 ALIGN=MIDDLE  ALT=\"2x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number of dimes since there are two fewer dimes than twice the number of equrters\r<BR>\n" );
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document.write( "Step 4.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10%282x-2%29=0.20x-0.20 ALIGN=MIDDLE  ALT=\"0.10%282x-2%29=0.20x-0.20\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the dollar value of dimes.\r<BR>\n" );
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document.write( "Step 5.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2 ALIGN=MIDDLE  ALT=\"3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number of nickels since there are two fewer nickels than three times the number of quarters\r<BR>\n" );
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document.write( "Step 6.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%283x-2%29=0.15x-0.10 ALIGN=MIDDLE  ALT=\"0.05%283x-2%29=0.15x-0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the dollar value of nickels \r<BR>\n" );
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document.write( "Step 7.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2x-2%2B3x-2=50 ALIGN=MIDDLE  ALT=\"x%2B2x-2%2B3x-2=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the total number of coins is 50. \r<BR>\n" );
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document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-4=50 ALIGN=MIDDLE  ALT=\"6x-4=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=54 ALIGN=MIDDLE  ALT=\"6x=54\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (quarters), then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2=16 ALIGN=MIDDLE  ALT=\"2x-2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > (dimes) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2=25 ALIGN=MIDDLE  ALT=\"3x-2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > (nickels).  Note number is 50.  \r<BR>\n" );
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document.write( "Now check the dollar value.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A0.25%2B16%2A0.10%2B25%2A0.05=2.25%2B1.60%2B1.25=5.10 ALIGN=MIDDLE  ALT=\"9%2A0.25%2B16%2A0.10%2B25%2A0.05=2.25%2B1.60%2B1.25=5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a true statement.\r<BR>\n" );
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document.write( "Step 8.  ANSWER:  The number of quarters is 9, the number of dimes is 16 and the number of nickels is 25.\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\r<BR>\n" );
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document.write( " </SPAN>\n" );
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