document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92006>Question 92006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If necessary round to nearest hundredth\r<BR>\n" );
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document.write( "a, it takes 44 pounds of seed to completely plant a 5 acre field. How many acres can be planted per pound of seed?\r<BR>\n" );
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document.write( "b A color printer prints 41 pages in 12 minutes. How many pages does it print per minute\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 #66849 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=66849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each of these two problems can be handled as a proportion and proportions can be converted<BR>\n" );
document.write( "to the form of an equation by cross-multiplying ... multiplying the numerator on one side by <BR>\n" );
document.write( "the denominator on the other side of the proportion. Let's use this process on the two problems<BR>\n" );
document.write( "you listed.<BR>\n" );
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document.write( "In the first problem you can say that 44 pounds is to 5 acres as 1 pound is to x acres.<BR>\n" );
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document.write( "In proportion form this is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2844+lbs%29%2F%285+acres%29+=+%281+lb%29%2F%28x+acres%29 ALIGN=MIDDLE  ALT=\"%2844+lbs%29%2F%285+acres%29+=+%281+lb%29%2F%28x+acres%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that we have lbs in both numerators and acres in both denominators. That's a<BR>\n" );
document.write( "good check to make sure we set it up correctly.<BR>\n" );
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document.write( "Now we can cross multiply. Multiply the 44 (a numerator) times x (the denominator <BR>\n" );
document.write( "on the other side) and set that product equal to 1 (a numerator) times 5 (the denominator<BR>\n" );
document.write( "on the other side). In equation form this is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44+%2A+x+=+1+%2A+5 ALIGN=MIDDLE  ALT=\"44+%2A+x+=+1+%2A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44x+=+5 ALIGN=MIDDLE  ALT=\"44x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for x by dividing both sides of this equation by 44 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F44 ALIGN=MIDDLE  ALT=\"x+=+5%2F44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and use a calculator to determine that 5 divided by 44 is 0.1136 which rounds to the nearest<BR>\n" );
document.write( "hundredth as 0.11 acres.  <BR>\n" );
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document.write( "For your second problem, the printer output is 41 pages in 12 minutes and this is proportional<BR>\n" );
document.write( "to an unknown number of pages (call it x) in 1 minute.  In proportion form this can be<BR>\n" );
document.write( "written as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2841+pgs%29%2F%2812+mins%29+=+%28x+pgs%29%2F%281+min%29 ALIGN=MIDDLE  ALT=\"%2841+pgs%29%2F%2812+mins%29+=+%28x+pgs%29%2F%281+min%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Both of the numerators are in terms of pages and both of the denominators are in terms of <BR>\n" );
document.write( "minutes.  That checks. By cross multiplying this becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2A1+=+12%2Ax ALIGN=MIDDLE  ALT=\"41%2A1+=+12%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "which simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+41 ALIGN=MIDDLE  ALT=\"12x+=+41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for x by dividing both sides by 12 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+41%2F12+=+3.41666 ALIGN=MIDDLE  ALT=\"x+=+41%2F12+=+3.41666\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So in one minute the printer puts out 3.4166 pages which to the nearest hundredth is<BR>\n" );
document.write( "3.42 pages.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how proportions can be used to solve problems <BR>\n" );
document.write( "such as these. </SPAN>\n" );
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