document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163541>Question 1163541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> john and nat were given some money. if john spends $50 and nat spends $100 each day, john would still have $2500 left while nat would have spent all her money.  if john spends $100 and nat spends $50 each day, john would still have $1000 left while nat would have spent all her money.  How much money john and nat were given each? solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787672 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> john and nat were given some money. <BR>\n" );
document.write( "if john spends $50 and nat spends $100 each day, john would still have $2500 left<BR>\n" );
document.write( " while nat would have spent all her money. <BR>\n" );
document.write( "if john spends $100 and nat spends $50 each day, john would still have $1000 left<BR>\n" );
document.write( " while nat would have spent all her money.<BR>\n" );
document.write( "How much money john and nat were given each?<BR>\n" );
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document.write( "In the first situation Nat spend all her money at $100 a day in x days<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "In the 2nd situation Nat must spend all money at $50 a day for 2x days<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let j = amt of money that John had<BR>\n" );
document.write( "let n = amt of money that Nate had<BR>\n" );
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document.write( "Johns two equations for x and 2x days<BR>\n" );
document.write( "J - 50x = 2500<BR>\n" );
document.write( "j - 100(2x) = 1000<BR>\n" );
document.write( "----------------------subtraction eliminates j, find x<BR>\n" );
document.write( "0 + 150x = 1500<BR>\n" );
document.write( "x = 1500/150<BR>\n" );
document.write( "x = 10 days for the first situation, then 20 days for the 2nd situation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find j using the first situation: <BR>\n" );
document.write( "j - 50(10) = 2500<BR>\n" );
document.write( "j = 2500 + 500<BR>\n" );
document.write( "j = $3000 was John's original amt<BR>\n" );
document.write( "then find n using the first situation<BR>\n" );
document.write( "n - 100(10) = 0<BR>\n" );
document.write( "n - 1000 = 0<BR>\n" );
document.write( "n = $1000 was Nat's original amt </SPAN>\n" );
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