document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242948>Question 242948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FOOD:<BR>\n" );
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document.write( "restaurant choices:<BR>\n" );
document.write( "- other = 9%<BR>\n" );
document.write( "- Chinese = 21%<BR>\n" );
document.write( "- Italian = 29%<BR>\n" );
document.write( "- American = 41%<BR>\n" );
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document.write( "A sample of students was asked what type of restaurant they visited most often. Their answers are shown on the circle graph. If 126 students chose Chinese restaurants, how many students were polled?\r<BR>\n" );
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document.write( "(Can you show me how to figure it out step by step please. And use fractions and exponents. Please and thank you.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177972 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=177972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that a percentage is simply a fraction out of a hundred. For example, 50% is the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F100 ALIGN=MIDDLE  ALT=\"50%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie there are 50 cases out of 100).\r<BR>\n" );
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document.write( "In this case, the figure 21% (the percentage for those who chose Chinese restaurants) can be represented as the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F100 ALIGN=MIDDLE  ALT=\"21%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It turns out that if you multiply that fraction by the total amount of people (which for now we'll call 'x'), we'll get those 126 students. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821%2F100%29x=126 ALIGN=MIDDLE  ALT=\"%2821%2F100%29x=126\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821%2F100%29x=126 ALIGN=MIDDLE  ALT=\"%2821%2F100%29x=126\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28100%29%2821%2Fcross%28100%29%29x=126%2A100 ALIGN=MIDDLE  ALT=\"cross%28100%29%2821%2Fcross%28100%29%29x=126%2A100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 100.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x=12600 ALIGN=MIDDLE  ALT=\"21x=12600\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%2821%29%2Fcross%2821%29%29x=12600%2F21 ALIGN=MIDDLE  ALT=\"%28cross%2821%29%2Fcross%2821%29%29x=12600%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 21 to isolate 'x'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=600 ALIGN=MIDDLE  ALT=\"x=600\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide and simplify.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=600 ALIGN=MIDDLE  ALT=\"x=600\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that 600 students total were polled. </SPAN>\n" );
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