document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137387>Question 137387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would i solve these two word problems??? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1)An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.\r<BR>\n" );
document.write( "\n" );
document.write( "2)Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?    <BR>\n" );
document.write( "  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100530 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=100530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2)An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away.<BR>\n" );
document.write( "The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. <BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Express DATA:<BR>\n" );
document.write( "Distance = 50 miles : Rate = 2x mph ; time = 50/2x <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Local train DATA:<BR>\n" );
document.write( "Distance = 50 miles ; Rate = x mph ; time = 50/x<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "local train time - express train time = 1 hr<BR>\n" );
document.write( "50/x - 50/2x = 1<BR>\n" );
document.write( "Multiply thru by 2x to get:<BR>\n" );
document.write( "100 - 50 = 2x<BR>\n" );
document.write( "50 = 2x<BR>\n" );
document.write( "x = 25 mph ( speed of the local train)<BR>\n" );
document.write( "2x = 50 mph ( speed of the express)<BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "Joe has a collection of nickels and dimes that is worth $5.65. <BR>\n" );
document.write( "If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45.<BR>\n" );
document.write( "How many dimes does he have? <BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "5n + 10d = 565 cents<BR>\n" );
document.write( "5(n+8) + 10(2d) = 1045<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "5n  + 10d   = 565<BR>\n" );
document.write( "5n  + 20d   = 1005<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Subtract 1st from 2nd to get:<BR>\n" );
document.write( "10d = 440<BR>\n" );
document.write( "d = 44 (# of dimes)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Substitute into 5n+10d=565 to solve for \"n\"<BR>\n" );
document.write( "5n+10*44 = 565<BR>\n" );
document.write( "5n + 440 = 565<BR>\n" );
document.write( "5n = 125<BR>\n" );
document.write( "n = 25 (# of nickels)<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );