document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133787>Question 133787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I am really confused about this word problem. Setting up the problem properly is what I need the most help on. Do you know how to set up the equation for this problem properly? Any help would be greatly appreciated.\r<BR>\n" );
document.write( "\n" );
document.write( "A man invests a certain amount of money in an account that pays 7% annual interest.  He invests $350 more than that in an account that pays 8% annual interest, how much did he invest in each account if the total interest after one year was $250?  \r<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Mrs. Gibson </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97885 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=97885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man invests a certain amount of money in an account that pays 7% annual interest. He invests $350 more than that in an account that pays 8% annual interest, how much did he invest in each account if the total interest after one year was $250? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = \"a certain amt of money\" invested at 7%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "It says $350 more than that is invested at 8%, therefore<BR>\n" );
document.write( "(x+350) = amt invested at 8%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We have a simple interest equation:<BR>\n" );
document.write( ".07x + .08(x+350) = 250<BR>\n" );
document.write( ".07x + .08x + 28 = 250; multiplied what's inside the brackets<BR>\n" );
document.write( ".15x = 250 - 28; subtract 28 from both sides<BR>\n" );
document.write( ".15x = 222<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=222%2F.15 ALIGN=MIDDLE  ALT=\"222%2F.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >; divide both sides by .15<BR>\n" );
document.write( "x = $1480 invested at 7%<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1480 + 350 = $1830 invested at 8%<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the total interest<BR>\n" );
document.write( ".07(1480) + .08(1830) = <BR>\n" );
document.write( "103.60 + 146.40 = 250; confirms our solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );