document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122802>Question 122802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If one-fourth a number is subtracted from one-half of the number, the difference is 3.  Find the number and check your answer.\r<BR>\n" );
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document.write( "Thank youi very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90152 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=90152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N represent the unknown number.<BR>\n" );
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document.write( "One-fourth of N is N divided by 4 which can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F4 ALIGN=MIDDLE  ALT=\"N%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "One-half of N is N divided by 2 which can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F2 ALIGN=MIDDLE  ALT=\"N%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you subtract one-fourth of N from one-half of N this subtraction can be written as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F2+-+N%2F4 ALIGN=MIDDLE  ALT=\"N%2F2+-+N%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "and the problem tells you that this equals 3. So, in equation form this subtraction is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F2+-+N%2F4+=+3 ALIGN=MIDDLE  ALT=\"N%2F2+-+N%2F4+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can now put the first term on the left side over a common denominator of 4 by multiplying<BR>\n" );
document.write( "it by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2 ALIGN=MIDDLE  ALT=\"2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2+=+1 ALIGN=MIDDLE  ALT=\"2%2F2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > this is the same as multiplying the first term<BR>\n" );
document.write( "by 1 ... so it does not change the term. This multiplication of the first term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2 ALIGN=MIDDLE  ALT=\"2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "changes the term to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F2+%2A+2%2F2+=+2N%2F4 ALIGN=MIDDLE  ALT=\"N%2F2+%2A+2%2F2+=+2N%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and the equation then becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2N%2F4+-+N%2F4+=+3 ALIGN=MIDDLE  ALT=\"2N%2F4+-+N%2F4+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side you combine the two terms by subtracting their numerators and placing the<BR>\n" );
document.write( "result over the common denominator. In other words:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2N%2F4+-+N%2F4+=+%282N+-+N%29%2F4+=+N%2F4 ALIGN=MIDDLE  ALT=\"2N%2F4+-+N%2F4+=+%282N+-+N%29%2F4+=+N%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and when you substitute this new reduced form of the terms on the left side, the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F4+=+3 ALIGN=MIDDLE  ALT=\"N%2F4+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This equation can be solved for N by multiplying both sides by 4 to get rid of the denominator<BR>\n" );
document.write( "on the left side. Multiplying both sides by 4 results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+4%2A3+=+12 ALIGN=MIDDLE  ALT=\"N+=+4%2A3+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the answer to this problem is that the unknown number N equals 12.<BR>\n" );
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document.write( "Check:<BR>\n" );
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document.write( "One-half of 12 is 6, and one-fourth of 12 is 3. Then 6 - 3 = 3 which is what the problem says<BR>\n" );
document.write( "it should be. So the answer of N = 12 checks.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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document.write( " </SPAN>\n" );
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