document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852313>Question 852313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Last year Mr. Perkins spent 30% of his income on rent, 10% of the remainder on clothing and 3/7 of the money that remained on food.  His other expenses totaled $1000 and Mr. Perkins deposited the balance, 26% of his income, in the bank.  How much did Mr. Perkins earn last year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513295 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=513295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Last year Mr. Perkins spent 30% of his income on rent, 10% of the remainder on clothing and 3/7 of the money that remained on food. His other expenses totaled $1000 and Mr. Perkins deposited the balance, 26% of his income, in the bank. How much did Mr. Perkins earn last year?<BR>\n" );
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document.write( "Let his income be \"x\".<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x - 0.30x - (3/7)(x-0.30x)-1000 = 0.26x<BR>\n" );
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document.write( "0.7x - (3/7)0.7x = 0.26x + 1000<BR>\n" );
document.write( "(4/7)0.7x = 0.26x + 1000<BR>\n" );
document.write( "0.4x = 0.26x + 1000<BR>\n" );
document.write( "0.14x = 1000<BR>\n" );
document.write( "x = 1000/0.14 = $7142.86<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );