document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472835>Question 472835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally invested $3000 in two parts. One part was invested at 8% interest and the second part at 10% interest.<BR>\n" );
document.write( "Her total earnings were $256 dollars.<BR>\n" );
document.write( "How much was invested at 8% and how much was invested at 10%<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 #324304 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=324304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We don't know how much money Sally invested at 8%. So let's call that amount X.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The remainder of the $3000 she had available to invest at 10%. So, the amount she had left from the $3000 to invest at 10% was $3000 - X.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The amount X was invested at 8% so the return that it earned is 8% times X, or equivalently 0.08 * X.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The amount left to invest at 10% was $3000 - X so the return that it earned is 10% times 3000 - X, or 0.10*(3000 - X). Doing the distributed multiplication, it earned 300 -0.10*X<BR>\n" );
document.write( ".<BR>\n" );
document.write( "When you add together the two earnings it is equal to $256. In equation form this is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "0.08X + 300 - 0.10X = 256<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First, get rid of the 300 on the left side by subtracting 300 from both sides of the equation:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "0.08X + 300 - 300 - 0.10X = 256 - 300<BR>\n" );
document.write( ".<BR>\n" );
document.write( "When you do this subtraction you are left with:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "0.08X - 0.10X = -44<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Combine the two terms on the left side and you have:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "-0.02X = -44<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solve for X by dividing both sides by the coefficient (multiplier) of X which is -0.02:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "X = -44/-0.02 = 2200<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So now we know that Sally invested $2200 at 8%. The rest of her money is $3000 minus the $2200 which is $800, and it was invested at 10%<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "$2200 times 8% = $2200 * 0.08 = $176<BR>\n" );
document.write( ".<BR>\n" );
document.write( "and<BR>\n" );
document.write( ".<BR>\n" );
document.write( "$800 times 10% = $800 * 0.01 = $80<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So the total earnings is $176 + $80 = $256<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This is exactly the amount that the problem said it should be and, therefore, the answer that we got is correct. $2200 was invested and 8% and $800 was invested at 10%.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope that this helps you to understand the problem and the procedure to follow in solving it. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );