document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217473>Question 217473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> question #16\r<BR>\n" );
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document.write( "the total value of the dimes and quarters in a coin bank is $3.70. if the dimes were quarters and the quarters were dimes, the total value of the coins would be $2.95. find the number of quarters in the coin bank\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163969 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=163969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> question #16\r<BR>\n" );
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document.write( "The total value of the dimes and quarters in a coin bank is $3.70. If the dimes were quarters and the quarters were dimes, the total value of the coins would be $2.95. find the number of quarters in the coin bank.\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 dimes.\r<BR>\n" );
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document.write( "Step 2.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number 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=0.10x ALIGN=MIDDLE  ALT=\"0.10x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  be the dollar value of dimes.\r<BR>\n" );
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document.write( "Step 4.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25y ALIGN=MIDDLE  ALT=\"0.25y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  be the dollar value of quarters.\r<BR>\n" );
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document.write( "Step 5.  Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10x%2B0.25y=3.70 ALIGN=MIDDLE  ALT=\"0.10x%2B0.25y=3.70\"   DISABLED_style= \"max-width:90%; height:auto;\" >   since the total value of the dimes and quarters in a coin bank is $3.70. \r<BR>\n" );
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document.write( "Step 6.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10y%2B0.25x=2.95 ALIGN=MIDDLE  ALT=\"0.10y%2B0.25x=2.95\"   DISABLED_style= \"max-width:90%; height:auto;\" >  since the dimes were quarters and the quarters were dimes, the total value of the coins would be $2.95\r<BR>\n" );
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document.write( "Step 7.   Based on Steps 5 and 6 we have the following linear system of equations which will  be solved by elimination.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10x%2B0.25y=3.70 ALIGN=MIDDLE  ALT=\"0.10x%2B0.25y=3.70\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25x%2B0.10y=2.95 ALIGN=MIDDLE  ALT=\"0.25x%2B0.10y=2.95\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 8.  Let's get rid of the decimal point by multiplying both equations by 100.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B25y=370 ALIGN=MIDDLE  ALT=\"10x%2B25y=370\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Equation A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10y=295 ALIGN=MIDDLE  ALT=\"25x%2B10y=295\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Equation B\r<BR>\n" );
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document.write( "Step 9.  Multiply Equation A by  by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to both equations to simplify the problem a bit.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29%2A%282%2F5%29%2B25%2A%282%2F5%29=370%2A%282%2F5%29 ALIGN=MIDDLE  ALT=\"%2810x%29%2A%282%2F5%29%2B25%2A%282%2F5%29=370%2A%282%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B10y=148 ALIGN=MIDDLE  ALT=\"4x%2B10y=148\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Equation A1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10y=295 ALIGN=MIDDLE  ALT=\"25x%2B10y=295\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation B\r<BR>\n" );
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document.write( "Step 10.  Subtract Equation A1 from Equation B to get the following:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825-4%29x%2B%2810-10%29y=295-148 ALIGN=MIDDLE  ALT=\"%2825-4%29x%2B%2810-10%29y=295-148\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x=147 ALIGN=MIDDLE  ALT=\"21x=147\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 11.  Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x%2F21=147%2F21 ALIGN=MIDDLE  ALT=\"21x%2F21=147%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 12.Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B10y=148 ALIGN=MIDDLE  ALT=\"4x%2B10y=148\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to find y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A7%2B10y=148 ALIGN=MIDDLE  ALT=\"4%2A7%2B10y=148\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2B10y=148 ALIGN=MIDDLE  ALT=\"28%2B10y=148\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 13.  Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28 ALIGN=MIDDLE  ALT=\"28\"   DISABLED_style= \"max-width:90%; height:auto;\" >  from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2B21y-28=148-28 ALIGN=MIDDLE  ALT=\"28%2B21y-28=148-28\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y=120 ALIGN=MIDDLE  ALT=\"10y=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 14.  Divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to both sides of the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2F10=120%2F10 ALIGN=MIDDLE  ALT=\"10y%2F10=120%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=12 ALIGN=MIDDLE  ALT=\"y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 15.  Now check if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=12 ALIGN=MIDDLE  ALT=\"y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >  satisfies  Equation B or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10y=295 ALIGN=MIDDLE  ALT=\"25x%2B10y=295\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A7%2B10%2A12=175%2B120=295 ALIGN=MIDDLE  ALT=\"25%2A7%2B10%2A12=175%2B120=295\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a true statement.\r<BR>\n" );
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document.write( "Step 16.  ANSWER:  In the coin bank there are 7 dimes and 12 quarters.\r<BR>\n" );
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document.write( "I hope the above steps and explanation 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, please visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Also,  good luck in your future studies. \r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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