document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=595537>Question 595537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Seven times a number is the same as 12 more than 3 times the number. Find the number.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377181 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "We can solve this problem by writing an algebraic equation.<BR>\n" );
document.write( "Let's call the mystery number n. Now we need to translate the English sentence into algebra.<BR>\n" );
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document.write( "In algebra, \"seven times a number\" is 7n.<BR>\n" );
document.write( "In algebra, \"3 times the number\" is 3n.<BR>\n" );
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document.write( "The sentence says that 7n is 12 more than 3n, so we write<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7n=12%2B3n ALIGN=MIDDLE  ALT=\"7n=12%2B3n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we solve the equation for n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7n=12%2B3n ALIGN=MIDDLE  ALT=\"7n=12%2B3n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract 3n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n=12 ALIGN=MIDDLE  ALT=\"4n=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Divide both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3 ALIGN=MIDDLE  ALT=\"n=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "According to computations, the number is 3. We need to go back and check our work. Reread the sentence substituting \"3\" for \"a number.\"<BR>\n" );
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document.write( "\"Seven times THREE is the same as 12 more than 3 times THREE.\" We know that 7x3=21 and 3x3=9, so we have \"21 is 12 more than 9.\" This is true, so the number is 3.<BR>\n" );
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document.write( "That's it. Feel free to email me if this explanation is confusing.<BR>\n" );
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document.write( "Mrs.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com\r<BR>\n" );
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