document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180260>Question 1180260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combined investment in the first and third ventures is $7,000 more than the investment in the second venture. According to Jake's research, his investment in the first venture will triple after three years, and the investments in the other two ventures will double in the same period, making the total value of his investment $39,000.\r<BR>\n" );
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document.write( "Jake's investment in the first venture is $?<BR>\n" );
document.write( "a. $6,000<BR>\n" );
document.write( "b. $8,000<BR>\n" );
document.write( "c. $9,000<BR>\n" );
document.write( "d. $10,000\r<BR>\n" );
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document.write( "His investment in the second venture is $? <BR>\n" );
document.write( "a. $2,000<BR>\n" );
document.write( "b. $4,000<BR>\n" );
document.write( "c. $6,000<BR>\n" );
document.write( "d. $7,000\r<BR>\n" );
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document.write( "And his investment in the third venture is $?<BR>\n" );
document.write( "a. $1,000<BR>\n" );
document.write( "b. $2,000<BR>\n" );
document.write( "c. $3,000<BR>\n" );
document.write( "d. $4,000<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 #809903 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combined investment in the first and third ventures is $7,000 more than the investment in the second venture. According to Jake's research, his investment in the first venture will triple after three years, and the investments in the other two ventures will double in the same period, making the total value of his investment $39,000.\r<BR>\n" );
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document.write( "Let x,y,z be the investment in I , II, and III investment respectively\r<BR>\n" );
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document.write( "x+y+z=15000 ----------------(1)\r<BR>\n" );
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document.write( "x+z = y+7000 ----------------(2)<BR>\n" );
document.write( "x-y+z =7000  ----------------(3)\r<BR>\n" );
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document.write( "3x +2y+2z =39000 -------------(4)\r<BR>\n" );
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document.write( "Add 1&3<BR>\n" );
document.write( "2x+2z=22000<BR>\n" );
document.write( "x+z = 11000<BR>\n" );
document.write( "plug x+z in (2)<BR>\n" );
document.write( "x+z = y+7000 <BR>\n" );
document.write( "11000 =y+7000<BR>\n" );
document.write( "y = 4000----------------II\r<BR>\n" );
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document.write( "multiply (1) b7 2 and subtract (4)\r<BR>\n" );
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document.write( "x+y+z=15000<BR>\n" );
document.write( "2x+2y+2z =30000<BR>\n" );
document.write( "3x +2y+2z =39000<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "-x = -9000<BR>\n" );
document.write( "x=9000----------------------I<BR>\n" );
document.write( "z = 2000--------------------III\r<BR>\n" );
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document.write( "First venture $9,000<BR>\n" );
document.write( "Second venture $4000<BR>\n" );
document.write( "Third venture $ 2000\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );