document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68873>Question 68873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> $5000.00 was invested in 2 different bonds.  One bond yielded 5% in one year and the other yielded 6% in one year.  The total yield was $280.00.<BR>\n" );
document.write( "How much was invested in each bond?\r<BR>\n" );
document.write( "\n" );
document.write( "I originally set up the problem as such:<BR>\n" );
document.write( ".05A+.06B=280<BR>\n" );
document.write( "I don't know what steps to take from there. I know what the answer is but do not understand how to figure on paper.  .05A=280-.06B  Other than plug in numbers and guess, I do not understand how to do.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49021 by </B><A HREF=/tutors/aboutme.mpl?userid=rmromero><B>rmromero(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rmromero><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=49021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is asked in the problem?<BR>\n" );
document.write( "How much was invested in each bond?<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Given :<BR>\n" );
document.write( "$5000 was invested in 2 different bonds<BR>\n" );
document.write( "one yields 5% in one year<BR>\n" );
document.write( "the other yielded 6% in one year<BR>\n" );
document.write( "The total yield was $280.00<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Representation:<BR>\n" );
document.write( "A = investment which yield 5% in dollars<BR>\n" );
document.write( "B = investment which yield 6% in dollars<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Write an Equation. Translate the given sentences to mathematical sentence.<BR>\n" );
document.write( "A + B = $5000<BR>\n" );
document.write( "0.05A + 0.06B = $280.00 <-- it is better if you multiply 100 each term so that you will not deal with decimal later on.<BR>\n" );
document.write( "0.05A + 0.06B = $280.00  is the same as 5A + 6B = 28000<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "We can now use Substitution method to solve for the variable of the two equations.<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Here are the Steps using Substition method<BR>\n" );
document.write( "1. In either equation, solve for one variable in terms of the other.<BR>\n" );
document.write( "A + B = $5000<BR>\n" );
document.write( "A = -B + 5000<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "2. Substitute for that variable in the other equation. Solve.<BR>\n" );
document.write( "5A + 6B = 28000<BR>\n" );
document.write( "5(-B+5000) + 6B = 28000<BR>\n" );
document.write( "-5B - 25000 + 6B = 28000<BR>\n" );
document.write( "B = $ 3000 <<<<<<<< investment which yield 6% in dollars<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "3. Substitute the result from step 2 in either equation. Solve for the other variable.<BR>\n" );
document.write( "A + B = $5000, B = $3000<BR>\n" );
document.write( "A + 3000 = 5000<BR>\n" );
document.write( "A = $ 2000 <<<<<< investment which yield 5% in dollars<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "4. Check the solution in both original equations.<BR>\n" );
document.write( "A + B = $5000, A = $2000, B = $3000<BR>\n" );
document.write( "2000 + 3000 = 5000<BR>\n" );
document.write( "5000 = 5000 --------->> True<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "5A + 6B = 28000, A = $2000, B = $3000<BR>\n" );
document.write( "5(2000) + 6(3000) = 28000<BR>\n" );
document.write( "10000 + 18000 = 28000<BR>\n" );
document.write( "28000 = 28000 ----------->> True\r<BR>\n" );
document.write( "\n" );
document.write( "<br> Therefore $2,000 was invested at 5% and $3,000 was invested at 6% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );