document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672518>Question 672518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dan earned money from babysitting. He spent 1/4 of his money on a guitar and gave 1/4 of what was left to charity. He has $108 left. How much money did he begin with? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418122 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=418122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dan earned money from babysitting. He spent 1/4 of his money on a guitar and gave 1/4 of what was left to charity. He has $108 left. How much money did he begin with?<BR>\n" );
document.write( "Let x = amount ($) he began with<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x - (1/4)x - (1/4)(x - (1/4)x) = 108<BR>\n" );
document.write( "x - x/4 - ((1/4)x - (1/4)(1/4)x) = 108<BR>\n" );
document.write( "x - x/4 - (x/4 - (1/16)x) = 108<BR>\n" );
document.write( "x - x/4 - (x/4 - x/16) = 108<BR>\n" );
document.write( "x - x/4 - x/4 + x/16 = 108<BR>\n" );
document.write( "multiplying both sides by 16:<BR>\n" );
document.write( "16x - 4x - 4x + x = 1728<BR>\n" );
document.write( "16x - 8x + x = 1728<BR>\n" );
document.write( "8x + x = 1728<BR>\n" );
document.write( "9x = 1728<BR>\n" );
document.write( "x = $192\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );