document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65415>Question 65415</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Good evening.I would like to ask you to solve for these problems for me..\r<BR>\n" );
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document.write( " 1) A 60 feet piece of rope is cut into two pieces. One is 12 feet more than three times the other. How long is each piece?\r<BR>\n" );
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document.write( " 2) If there are 26 coins in a collection of dimes and quarters, and the value of the collection is $4.70, how many dimes and how many quarters are there?<BR>\n" );
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document.write( "Your best regard.<BR>\n" );
document.write( "modi21 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45943 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=45943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi modi21<BR>\n" );
document.write( "  1) A 60 feet piece of rope is cut into two pieces. One is 12 feet more than three times the other. How long is each piece?<BR>\n" );
document.write( "Let the \"other peice\" be: x<BR>\n" );
document.write( "Then \"one\" is: 3x+12<BR>\n" );
document.write( "The two peices added together is:60<BR>\n" );
document.write( "(x)+(3x+12)=60<BR>\n" );
document.write( "4x+12=60<BR>\n" );
document.write( "4x+12-12=60-12<BR>\n" );
document.write( "4x=48<BR>\n" );
document.write( "4x/4=48/4<BR>\n" );
document.write( "x=12<BR>\n" );
document.write( "The \"other Piece\": x=12 ft<BR>\n" );
document.write( "The \"one\": 3x+12=3(12)+12=36+12=48 ft<BR>\n" );
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document.write( "Sanity Check:<BR>\n" );
document.write( "If you add the two pieces do you get 60 ft?<BR>\n" );
document.write( "12+48=60<BR>\n" );
document.write( "60=60 Yes.  Looks ok.<BR>\n" );
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document.write( " 2) If there are 26 coins in a collection of dimes and quarters, and the value of the collection is $4.70, how many dimes and how many quarters are there?<BR>\n" );
document.write( "Let the number of quarters be: x<BR>\n" );
document.write( "Then the rest of the coins are dimes: 26-x<BR>\n" );
document.write( "Therefore, the amount of money (in cents) of quarters is: 25x<BR>\n" );
document.write( "Therefore, the amount of money (in cents) of dimes is: 10(26-x)<BR>\n" );
document.write( "The total amount of money (in cents) is: 470<BR>\n" );
document.write( "25x+10(26-x)=470<BR>\n" );
document.write( "25x+260-10x=470<BR>\n" );
document.write( "15x+260=470<BR>\n" );
document.write( "15x+260-260=470-260<BR>\n" );
document.write( "15x=210<BR>\n" );
document.write( "15x/15=210/15<BR>\n" );
document.write( "x=14<BR>\n" );
document.write( "The number of quarters: x=14<BR>\n" );
document.write( "The number of dimes: 26-x=26-14=12<BR>\n" );
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document.write( "Sanity check:<BR>\n" );
document.write( "If you have 14 quarters and 12 dimes, do you have $4.70?<BR>\n" );
document.write( "14($.25)+12($.10)=$4.70 <BR>\n" );
document.write( "$3.50+$1.20=$4.70<BR>\n" );
document.write( "$4.70=$4.70  It appears we're sane.<BR>\n" );
document.write( "Happy Calculating!!!!<BR>\n" );
document.write( "funmath </SPAN>\n" );
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