document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53649>Question 53649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP SOLVE:\r<BR>\n" );
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document.write( "BANK WITH 47 COINS. SOME ARE QUARTERS AND THE REST ARE HALF DOLLARS. IF THE TOTAL VALUE OF THE COINS IS $17.00, HOW MANY OF EACH DENOMINATION DOES SHE HAVE? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35896 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of quarters=x<BR>\n" );
document.write( "Let the number of half dollars equal the rest of the 47 coins=47-x<BR>\n" );
document.write( "The amount of money you have is the (worth of the coin)*(number of coins)<BR>\n" );
document.write( "So you have:<BR>\n" );
document.write( "Money in Quarters=.25x<BR>\n" );
document.write( "Money in half dollars=.50(47-x)<BR>\n" );
document.write( "Total amount of money=17.00<BR>\n" );
document.write( "So your problem to solve is:<BR>\n" );
document.write( ".25x+.50(47-x)=17.00<BR>\n" );
document.write( "If you're like me, decimals are just mistakes waiting to happen.  We can eliminate our decimals by multiplying both sides of the equation by 100.<BR>\n" );
document.write( "100(.25x)+100(.50)(47-x)=100(17.00)<BR>\n" );
document.write( "25x+50(47-x)=1700<BR>\n" );
document.write( "25x+50(47)+50(-x)=1700<BR>\n" );
document.write( "25x+2350-50x=1700<BR>\n" );
document.write( "(25-50)x+2350=1700<BR>\n" );
document.write( "-25x+2350=1700<BR>\n" );
document.write( "-25x+2350-2350=1700-2350<BR>\n" );
document.write( "-25x=-650<BR>\n" );
document.write( "-25x/-25=-650/-25<BR>\n" );
document.write( "x=26<BR>\n" );
document.write( "The amount of quarters you have is:x=26<BR>\n" );
document.write( "The amount of half dollars that you have:47-x=47-26=21<BR>\n" );
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document.write( "Check, does 26 quarters + 21 half dollars = $17.00?<BR>\n" );
document.write( "26(.25)+21(.50)<BR>\n" );
document.write( "=$6.50+$10.50<BR>\n" );
document.write( "=$17.00<BR>\n" );
document.write( "Seems like a valid conclusion to me.  How about you? </SPAN>\n" );
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