document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175356>Question 175356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> DENNIS SAVINGS WAS 2/5 MORE THAN JULIA. AFTER DENNIS HAD GIVEN $500 TO JULIA HE HAD 1/5 OF JULIAS MONEY. FIND THEIR TOTAL SAVINGS?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130425 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=130425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = what dennis has now.<BR>\n" );
document.write( "let y = what julia has now.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "dennis savings is 2/5 more than what julia has.<BR>\n" );
document.write( "x = y + 2y/5 = 7y/5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "after dennis gives 500 to julia, he has 1/5 of what julia has after she receives the 500.<BR>\n" );
document.write( "x - 500 = (y + 500)/5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "you have 2 equations that you need to solve simultaneously.<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "x = 7y/5 (first equation)<BR>\n" );
document.write( "x-500 = (y+500)/5 (second equation)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "since you already have x = 7y/5, you can solve by substituting 7y/5 for x in the second equation.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "7y/5 - 500 = (y+500)/5<BR>\n" );
document.write( "multiply each side of the equation by 5 to clear the fractions and get:<BR>\n" );
document.write( "7y - 2500 = y + 500<BR>\n" );
document.write( "subtract y from both sides of the equation to get:<BR>\n" );
document.write( "6y - 2500 = 500<BR>\n" );
document.write( "add 2500 to both sides of the equation to get:<BR>\n" );
document.write( "6y = 3000<BR>\n" );
document.write( "divide both sides of the equation by 6 to get:<BR>\n" );
document.write( "y = 500<BR>\n" );
document.write( "---<BR>\n" );
document.write( "substitute 500 for y in the first equation to get:<BR>\n" );
document.write( "x = 7*(500)/5 = 7*100 = 700<BR>\n" );
document.write( "---<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "x = 700<BR>\n" );
document.write( "y = 500<BR>\n" );
document.write( "---<BR>\n" );
document.write( "this means that:<BR>\n" );
document.write( "dennis has 700<BR>\n" );
document.write( "julia has 500<BR>\n" );
document.write( "---<BR>\n" );
document.write( "first part of problem states that dennis had 2/5 more than what julia had.<BR>\n" );
document.write( "700 = 500 + 2/5 * 500 = 500 + 200 = 700<BR>\n" );
document.write( "this part is good.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "second part of problem states that dennis has 1/5 what julia has after he gives her 500.<BR>\n" );
document.write( "700 - 500 = 200 = 1/5 * (500 + 500) = 1/5 * (1000) = 200<BR>\n" );
document.write( "this part is good.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer has been checked and is good.<BR>\n" );
document.write( "dennis had 700 and julia had 500 before dennis gave her the 500.<BR>\n" );
document.write( "dennis had 200 and julia had 1000 after dennis gave her the 500.<BR>\n" );
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