document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112364>Question 112364</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131868438/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> four fifths of a number added to one half the number is equal to the sum of one tenth of the number and 1. what is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81992 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=81992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the number<BR>\n" );
document.write( "Four-fifths the number=(4x/5)<BR>\n" );
document.write( "Half the number=(x/2)<BR>\n" );
document.write( "One-tenth the number=(x/10)<BR>\n" );
document.write( "One-tenth the number and 1=(x/10)+1\r<BR>\n" );
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document.write( "Now we are told the following:\r<BR>\n" );
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document.write( "(4x/5)+(x/2)=(x/10)+1  multiply each term by 10\r<BR>\n" );
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document.write( "8x+5x=x+10  subtract x from each side\r<BR>\n" );
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document.write( "8x+5x-x=x-x+10  collect like terms\r<BR>\n" );
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document.write( "12x=10  divide both sides by 12\r<BR>\n" );
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document.write( "x=10/12 or 5/6------------------------the number\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "(4/5)(5/6)+(1/2)(5/6)=(1/10)(5/6)+1  simplify\r<BR>\n" );
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document.write( "(20/30)+(5/12)=(5/60)+1  multiply each term by 60\r<BR>\n" );
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document.write( "40+25=5+60<BR>\n" );
document.write( "65=65\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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