document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056435>Question 1056435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Devon invested $8000 in three different mutual funds. A fund containing large cap stocks made 6.2% return in 1 years. A real estate fund lost 13.5% in 1 year, and a bond fund made 4.4% in 1 year. The amount invested in the large cap stock fund was twice the amount invested in the real estate fund. If Devon had a net return of $66 across all investments, how much did he invest in each fund?\r<BR>\n" );
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document.write( "So far I have this:\r<BR>\n" );
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document.write( "[A]= large cap fund<BR>\n" );
document.write( "[B]= real estate fund<BR>\n" );
document.write( "[C]= bond fund\r<BR>\n" );
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document.write( "so,<BR>\n" );
document.write( "a+b+c= 8000<BR>\n" );
document.write( "a+b=16,000<BR>\n" );
document.write( "62a-135b+44c=66,000      My question is the second equation looks iffy. I know that the application read the amount invested in the large cap fund was twice the amount invested in the real estate fund, so I took the $8000 and multiplied it by 2. I know something is wrong, I just can't pin point it. <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 #671610 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Devon invested $8000 in three different mutual funds. A fund containing large cap stocks made 6.2% return in 1 years. A real estate fund lost 13.5% in 1 year, and a bond fund made 4.4% in 1 year. The amount invested in the large cap stock fund was twice the amount invested in the real estate fund. If Devon had a net return of $66 across all investments, how much did he invest in each fund?\r<BR>\n" );
document.write( "\n" );
document.write( "So far I have this:\r<BR>\n" );
document.write( "\n" );
document.write( "[A]= large cap fund<BR>\n" );
document.write( "[B]= real estate fund<BR>\n" );
document.write( "[C]= bond fund\r<BR>\n" );
document.write( "\n" );
document.write( "so,<BR>\n" );
document.write( "a+b+c= 8000<BR>\n" );
document.write( "a+b=16,000<BR>\n" );
document.write( "62a-135b+44c=66,000      My question is the second equation looks iffy. I know that the application read the amount invested in the large cap fund was twice the amount invested in the real estate fund, so I took the $8000 and multiplied it by 2. I know something is wrong, I just can't pin point it. <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">You said A, B, and C for the funds. These are not the same as a, b, and c. You need to be consistent. Let's go with a, b, and c.<BR>\n" );
document.write( "a + b + c = 8,000 ---- This is CORRECT ------- eq (i) <BR>\n" );
document.write( "a + b = 16,000 ------- This is incorrect, and should be: a = 2b ------ eq (ii)<BR>\n" );
document.write( "62a - 135b + 44c = 66,000 ------ This is correct ------ eq (iii)\r<BR>\n" );
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document.write( "2b + b + c = 8,000 ----- Substituting 2b for a in eq (i)<BR>\n" );
document.write( "    3b + c = 8,000_______c = 8,000 - 3b ------- eq (iv)<BR>\n" );
document.write( "62(2b) - 135b + 44(8,000 - 3b) = 66,000 ------ Substituting 2b for a, and 8,000 - 3b for c in eq (iii)<BR>\n" );
document.write( "Now, just solve for b!<BR>\n" );
document.write( "Then, substitute the value of b into eq (ii) to get the value of a<BR>\n" );
document.write( "Last, substitute values of b and a into eq (i) to get the value of c. Voila, you're finally done! </SPAN>\n" );
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