document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66569>Question 66569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your piggy bank has 25 coins in it; some are quarters and some are nickels. You have $3.45. How many quarters and nickels do you have? (I know you can figure this out by trial and error, but you must write the equations and solve.)\r<BR>\n" );
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document.write( "Hint: You have two unknowns: \"q\" for quarters and \"n\" for nickels. You need two equations. Write one equation for the number of coins that you have and a second equation for the value of the coins. (An unknown number of nickels would have the value of .05n.) <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 #47218 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your piggy bank has 25 coins in it; some are quarters and some are nickels. You have $3.45. How many quarters and nickels do you have? (I know you can figure this out by trial and error, but you must write the equations and solve.)\r<BR>\n" );
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document.write( "Hint: You have two unknowns: \"q\" for quarters and \"n\" for nickels. You need two equations. Write one equation for the number of coins that you have and a second equation for the value of the coins. (An unknown number of nickels would have the value of .05n.) \r<BR>\n" );
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document.write( "Let q= number of quarters\r<BR>\n" );
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document.write( "Then n=number of nickels\r<BR>\n" );
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document.write( "Equation (1)  q+n=25<BR>\n" );
document.write( "Value of the quarters (.25q) plus the value of the nickels (.05n) equals $3.45<BR>\n" );
document.write( "Equation (2) .25q+.05n=$3.45<BR>\n" );
document.write( "So we need to solve:\r<BR>\n" );
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document.write( "(1)  q+n=25<BR>\n" );
document.write( "(2) .25q+.05n=3.45\r<BR>\n" );
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document.write( " Multiply (1) by .05\r<BR>\n" );
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document.write( "(1a)  .05q+.05n=1.25<BR>\n" );
document.write( "(2a)  .25q+.05n=3.45\r<BR>\n" );
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document.write( "subtract(1) from (2)\r<BR>\n" );
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document.write( ".20q=2.20<BR>\n" );
document.write( "q=11 quarters\r<BR>\n" );
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document.write( "substitute in (1) above:\r<BR>\n" );
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document.write( "11+n=25  subtract 11 from both sides\r<BR>\n" );
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document.write( "n=14 nickels\r<BR>\n" );
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document.write( "Ck\r<BR>\n" );
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document.write( "11+14=25<BR>\n" );
document.write( "and<BR>\n" );
document.write( "11(.25)+14(.05)=3.45<BR>\n" );
document.write( "2.75+.70=3.45<BR>\n" );
document.write( "3.45=3.45\r<BR>\n" );
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document.write( "Actually, we can solve this problem with one unknown:\r<BR>\n" );
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document.write( "Let x=number of quartsrs<BR>\n" );
document.write( "Then 25-x=number of nickels<BR>\n" );
document.write( "(Now lets deal in pennies)\r<BR>\n" );
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document.write( "25x+5(25-x)=345<BR>\n" );
document.write( "25x+125-5x=345 subtract 125 from both sides<BR>\n" );
document.write( "20x=220<BR>\n" );
document.write( "x=11 quarters<BR>\n" );
document.write( "25-x=25-11=14 nickels\r<BR>\n" );
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document.write( "Hope this helps -----ptaylor\r<BR>\n" );
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