document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118952>Question 1118952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi can you help me solve this problem please? <BR>\n" );
document.write( "\"Coco has a jar containing pennies and nickels that add up to a total of $9.20. If she could switch the number of pennies with the number of nickels, there would be $26.80 worth of coins in the jar. How many pennies and nickels are in the jar?\"\r<BR>\n" );
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document.write( "Can you show the step by step solving progress for their problem? Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734368 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let n = number of nickels.<BR>\n" );
document.write( "let p = number of pennies.\r<BR>\n" );
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document.write( "the number of cents in a nickel is 5.<BR>\n" );
document.write( "the number of cents in a penny is 1.<BR>\n" );
document.write( "the number of cents in a dollar is 100.\r<BR>\n" );
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document.write( "your first equation is 5n + p = 920.\r<BR>\n" );
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document.write( "if you switch the number of nickels with the number of pennies, then your second equation is 5p + n = 26.80.\r<BR>\n" );
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document.write( "re-arrange the variables so that your second equation reads n + 5p = 2680.\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "5n + p = 920<BR>\n" );
document.write( "n + 5p = 2680\r<BR>\n" );
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document.write( "multiply the second equation by -5 to get:\r<BR>\n" );
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document.write( "5n + p = 920<BR>\n" );
document.write( "-5n - 25p = -13400\r<BR>\n" );
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document.write( "add the 2 equations together to get:\r<BR>\n" );
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document.write( "-24p = -12480\r<BR>\n" );
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document.write( "solve for p to get:\r<BR>\n" );
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document.write( "p = 520.\r<BR>\n" );
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document.write( "in the first original equation of 5n + p = 920, replace p with 520 to get:\r<BR>\n" );
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document.write( "5n + 520 = 920\r<BR>\n" );
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document.write( "solve for n to get:\r<BR>\n" );
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document.write( "n = (920 - 520) / 5 = 80\r<BR>\n" );
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document.write( "replace n with 80 and replace p with 520 in both original equations to get:\r<BR>\n" );
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document.write( "5n + p = 920<BR>\n" );
document.write( "n + 5p = 2680\r<BR>\n" );
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document.write( "become:\r<BR>\n" );
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document.write( "5*80 + 520 = 920<BR>\n" );
document.write( "80 + 5*520 = 2680.\r<BR>\n" );
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document.write( "your solution is confirmed to be good.\r<BR>\n" );
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document.write( "it is:\r<BR>\n" );
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document.write( "number of nickels is 80 and number of pennies is 520 to get a total of 920 cents which is equal to $9.20.\r<BR>\n" );
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document.write( "number of nickels is 520 and number of pennies is 80 to get a total of 2680 cents which is equal to 26.80.\r<BR>\n" );
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