document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118135>Question 118135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four times a number is three times the difference between thirty five and the number. Find 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 #86245 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=86245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the unknown number.<BR>\n" );
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document.write( "What is 4 times that number?  It is 4 times x or 4x for short.<BR>\n" );
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document.write( "What is the difference between 35 and the number? It is 35 - x. And what is 3 times that<BR>\n" );
document.write( "difference? It is 3(35 - x).<BR>\n" );
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document.write( "The problem says that 4 times the number (4x) is equal to 3 times the difference between<BR>\n" );
document.write( "35 and the number ... 3(35 - x) <BR>\n" );
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document.write( "So set these two quantities equal:<BR>\n" );
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document.write( "4x = 3(35 - x)<BR>\n" );
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document.write( "On the right side do the distributed multiplication by multiplying 3 times each of the <BR>\n" );
document.write( "terms inside the parentheses. When you do that multiplication the equation becomes:<BR>\n" );
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document.write( "4x = 105 - 3x<BR>\n" );
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document.write( "Get rid of the -3x on the right side by adding 3x to both sides. On the right side the<BR>\n" );
document.write( "-3x and the 3x being added cancel each other out. On the left side the 4x plus 3x becomes<BR>\n" );
document.write( "7x ... so the equation is then:<BR>\n" );
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document.write( "7x = 105<BR>\n" );
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document.write( "Solve for x by dividing both sides of this equation by 7 and you get:<BR>\n" );
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document.write( "x = 15<BR>\n" );
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document.write( "The number that you were asked to find is 15.<BR>\n" );
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document.write( "Check ... 4 time that number is 4 times 15 and that is 60. The difference between 35 and <BR>\n" );
document.write( "the number is 35 - 15 and that is 20. And 3 times that number is 60. This tells you that <BR>\n" );
document.write( "4 times the number does equal 3 times the difference between 35 and the number. So the answer<BR>\n" );
document.write( "is correct. The unknown number does equal 15.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to solve it.<BR>\n" );
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document.write( "Have a Happy New Year ...<BR>\n" );
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