document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207346>Question 1207346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amana owns two houses in the same community. The ratio of the values of the first to the second house is 10: 15 respectively. It is estimated that in 6 years, the value of the first house will increase by 35% and that of the second house will increase by $30,825.00. If the new ratio is 3: 4, find the original value of the first house. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845172 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=845172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amana owns two houses in the same community. The ratio of the values of the first to the second house is 10: 15 respectively. It is estimated that in 6 years, the value of the first house will increase by 35% and that of the second house will increase by $30,825.00. If the new ratio is 3: 4, find the original value of the first house.\r<BR>\n" );
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document.write( "The ratio of the values of the first to the second house is 10: 15 respectively. <BR>\n" );
document.write( "Let the common multiple be x\r<BR>\n" );
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document.write( " Values of the first house will be 10x<BR>\n" );
document.write( "  the value of second house will be 15x\r<BR>\n" );
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document.write( "Value of the first house after 6 years will be 1.35* 10x\r<BR>\n" );
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document.write( "Value of the second  house after 6 years will be 15x  +30825.00\r<BR>\n" );
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document.write( "Now the ratio is 3:4\r<BR>\n" );
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document.write( "(1.35* 10x)/(15x  +30825.00) =3/4\r<BR>\n" );
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document.write( "13.5x /(15x  +30825.00)= 3/4\r<BR>\n" );
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document.write( "4* 13.5x = 3*(15x  +30825.00)\r<BR>\n" );
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document.write( "54x = 45x +92475\r<BR>\n" );
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document.write( "9x = 92475\r<BR>\n" );
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document.write( "x =10275\r<BR>\n" );
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document.write( "Value of first house = 10x = 102,750<BR>\n" );
document.write( "Value of second house = 15x =  154125\r<BR>\n" );
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document.write( "CHECK \r<BR>\n" );
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document.write( "(102750+ (1.35*10275))/(154125+30) =0.756\r<BR>\n" );
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document.write( " The original value of the first house is $ 102,750.00\r<BR>\n" );
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document.write( " </SPAN>\n" );
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