document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156231>Question 156231</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321127137/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please, Please help me.  I just don't understand what to do.  I've tried equation possible.\r<BR>\n" );
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document.write( "Otis has a box of coins.  There are 44 coins in all.  The box contains pennies, dimes and quarters.  The number of dimes is equal to the number of pennies.  The total value is $4.37.  How many of each denomination of coins does he have in the box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115087 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=115087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of dimes<BR>\n" );
document.write( "Then x will also equal the number of pennies<BR>\n" );
document.write( "And let y=number of quarters\r<BR>\n" );
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document.write( "Now we are told that: \r<BR>\n" );
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document.write( "0.01x +0.10x +0.25y=4.37 <BR>\n" );
document.write( "0.11x+0.25y=4.37  multiply each term by 100<BR>\n" );
document.write( "11x+25y=437--------------------------------------eq1<BR>\n" );
document.write( "We are also told that:<BR>\n" );
document.write( "2x+y=44 or<BR>\n" );
document.write( "y=44-2x-------------------eq2\r<BR>\n" );
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document.write( "Substitute y=44-2x from eq2 into eq1\r<BR>\n" );
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document.write( "11x+25(44-2x)=437  get rid of parens\r<BR>\n" );
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document.write( "11x+1100-50x=437 subtract 1100 from each side<BR>\n" );
document.write( "11x+1100-1100-50x=437-1100  collect like terms<BR>\n" );
document.write( "-39x=-663  divide each side by -39<BR>\n" );
document.write( "x=17------------------------------number of dimes and also number of pennies\r<BR>\n" );
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document.write( "Substitute x=17 into eq2<BR>\n" );
document.write( "y=44-2*17= 10-----------------------number of quarters\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "2*17+10=44<BR>\n" );
document.write( "44=44<BR>\n" );
document.write( "and<BR>\n" );
document.write( "0.25*10+0.01*17+0.10*17=4.37<BR>\n" );
document.write( "2.50+0.17+1.7=4.37<BR>\n" );
document.write( "4.37=4.37\r<BR>\n" );
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document.write( "Hope this helps--ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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