document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=897265>Question 897265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay, so I have a word problem that I need some help with I've already tried a few things and I just don't understand how to write it as an equation so that I can solve it:\r<BR>\n" );
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document.write( "PIGGY BANKS: When a child emptied her coin bank, she had a collection of pennies, nickels, and dimes. There were a total of 20 pennies and a combine total of 25 nickels and dimes. if the coins had a total value of 220 cents, how many nickels and dime were in the bank?<BR>\n" );
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document.write( "so I have:<BR>\n" );
document.write( "20 pennies; 25 nickels and dimes = $ .220<BR>\n" );
document.write( "N = nickels<BR>\n" );
document.write( "D = dimes<BR>\n" );
document.write( "VALUE: nickel = 5 cent; dime = 10 cents; penny = 1 cent\r<BR>\n" );
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document.write( "----   number * value = total value\r<BR>\n" );
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document.write( "----   20+5N+10D=220?.... did I write that write, because I don't think I did. I need help writing the right equation so if you could please get back to me.\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 #544059 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=544059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is really<BR>\n" );
document.write( "20 pennies + 25 other coins (nickels and dimes) = 220 cents = $2.20 .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of nickels<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of dimes<BR>\n" );
document.write( "You know that the combined total of nickels and dimes is 23 coins, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD=25 ALIGN=MIDDLE  ALT=\"N%2BD=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is one equation.<BR>\n" );
document.write( "You know that the value (in cents) ofthe whole amount of coins in the piggy banks is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B5N%2B10D=220 ALIGN=MIDDLE  ALT=\"20%2B5N%2B10D=220\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5N%2B10D=220-20 ALIGN=MIDDLE  ALT=\"5N%2B10D=220-20\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5N%2B10D=200 ALIGN=MIDDLE  ALT=\"5N%2B10D=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and dividing both sides of the equal sign by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > you get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5N%2B10D=200 ALIGN=MIDDLE  ALT=\"5N%2B10D=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285N%2B10D%29%2F5=200%2F5 ALIGN=MIDDLE  ALT=\"%285N%2B10D%29%2F5=200%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2D=40 ALIGN=MIDDLE  ALT=\"N%2B2D=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is a second equation.<BR>\n" );
document.write( "you have a system of equations: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28N%2BD=25%2CN%2B2D=40%29 ALIGN=MIDDLE  ALT=\"system%28N%2BD=25%2CN%2B2D=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There many ways to solve it, but subtracting the first equation from the second, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=40-25=highlight%2815%29 ALIGN=MIDDLE  ALT=\"D=40-25=highlight%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system+%28D=15%2CN%2BD=25%29 ALIGN=MIDDLE  ALT=\"system+%28D=15%2CN%2BD=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28N=10%29 ALIGN=MIDDLE  ALT=\"highlight%28N=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "IF you do not know what a system of equations is (or how to solve it),<BR>\n" );
document.write( "you would start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD=25 ALIGN=MIDDLE  ALT=\"N%2BD=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=25-D ALIGN=MIDDLE  ALT=\"N=25-D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-D%29=+number+of+nickels%0D%0AThen+you+would+write+the+expression+for+the+total+value+as%0D%0A%7B%7B%7B20%2B5%2825-D%29%2B10D=220 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B125-5D%2B10D=220 ALIGN=MIDDLE  ALT=\"20%2B125-5D%2B10D=220\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B125%2B5D=220 ALIGN=MIDDLE  ALT=\"20%2B125%2B5D=220\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=145%2B5D=220 ALIGN=MIDDLE  ALT=\"145%2B5D=220\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5D=220-145 ALIGN=MIDDLE  ALT=\"5D=220-145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5D=75 ALIGN=MIDDLE  ALT=\"5D=75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=75%2F5 ALIGN=MIDDLE  ALT=\"D=75%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D=15%29 ALIGN=MIDDLE  ALT=\"highlight%28D=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is the number of dimes, and you know that the number of nickels is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-D=25-15=highlight%2810%29 ALIGN=MIDDLE  ALT=\"25-D=25-15=highlight%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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