document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99680>Question 99680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah invested a certain amount of money into a savings account, and invested 3 times that amount into a mutual fund.  If after 1 year the savings account earned 5% interest and the mutual fund earned 11% interest, the total interest earned from the two investments was $152.  How much did Sarah initially invest in each fund??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72543 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=72543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount that Sarah invested in the savings account\r<BR>\n" );
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document.write( "Then 3x=amount that she invested in the mutual fund\r<BR>\n" );
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document.write( "Interest(I)=Principal(P) times Rate(R) times Time(T) or I=PRT\r<BR>\n" );
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document.write( "(1) Interest on savings account=x*(0.05)*(1)=0.05x\r<BR>\n" );
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document.write( "(2) Interest on mutual fund=3x*(0.11)*(1)=0.33x\r<BR>\n" );
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document.write( "Now we are told that (1)+(2)=$152.  So our equation to solve is:\r<BR>\n" );
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document.write( "0.05x+0.33x=152 combine like terms<BR>\n" );
document.write( "0.38x=152  divide both sides by 0.38\r<BR>\n" );
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document.write( "x=$400-------------amount that Sarah invested in the savings account\r<BR>\n" );
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document.write( "3x=3*$400=$1200----------amount that she invested in the mutual fund\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "0.05*400+0.11*1200=$152<BR>\n" );
document.write( "20+132=152<BR>\n" );
document.write( "152=152\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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