document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153257>Question 153257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with some word problems my teacher has assigned? We were told these were not directly from a math book.  \r<BR>\n" );
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document.write( "One number exceeds four times a second number by four. One third of the larger number exceeds one-half of the smaller by 8. Find both numbers. \r<BR>\n" );
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document.write( "I was thinking it was: x+4x+4  I just get so confused on these problems. Could you help me please?<BR>\n" );
document.write( "THank you in advance.\r<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 #112800 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number exceeds four times a second number by four. One third of the larger number exceeds one-half of the smaller by 8. Find both numbers.<BR>\n" );
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document.write( "Let x = \"One number\"<BR>\n" );
document.write( "Let y = \"a second number<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( "\"One number exceeds four times a second number by four.\"<BR>\n" );
document.write( " x = (4y+4) <BR>\n" );
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document.write( "\" One third of the larger number exceeds one-half of the smaller by 8.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >y + 8<BR>\n" );
document.write( "Get rid of those annoying denominators multiply equation by 6, results:<BR>\n" );
document.write( "2x = 3y + 6(8)<BR>\n" );
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document.write( "2x = 3y + 48<BR>\n" );
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document.write( "Replace x with (4y+4)<BR>\n" );
document.write( "2(4y+4) = 3y + 48<BR>\n" );
document.write( "8y + 8 = 3y + 48<BR>\n" );
document.write( "8y - 3y = 48 - 8<BR>\n" );
document.write( "5y = 40<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F5 ALIGN=MIDDLE  ALT=\"40%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 8<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x = 4(8) + 4<BR>\n" );
document.write( "x = 32 + 4<BR>\n" );
document.write( "x = 36<BR>\n" );
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document.write( "The two numbers are: 36, 8\r<BR>\n" );
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document.write( "Check solutions in original equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(36) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(8) + 8<BR>\n" );
document.write( "12 =  4 + 8 </SPAN>\n" );
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