document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208744>Question 1208744</A>: <I><SPAN STYLE=\"word-break: break-all;\">  It is estimated that 30 percent of all adults in the United States are obese and that 3 percent suffer <BR>\n" );
document.write( "from diabetes. If 2 percent of the population both is obese and suffers from diabetes, what <BR>\n" );
document.write( "percentage of the population either is obese or suffers from diabetes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847170 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=847170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's say hypothetically there are 1,000,000 adults in the US.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30% of which are obese, so 0.30*(1,000,000) = 300,000 adults are obese.<BR>\n" );
document.write( "3% have diabetes, so 0.03*(1,000,000) = 30,000 adults have diabetes.<BR>\n" );
document.write( "2% have both conditions, 0.02*(1,000,000) = 20,000 adults are obese and diabetic.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = set of people who are obese<BR>\n" );
document.write( "B = set of people who are diabetic<BR>\n" );
document.write( "n(A or B) = n(A) + n(B) - n(A and B)<BR>\n" );
document.write( "n(A or B) = 300,000 + 30,000 - 20,000<BR>\n" );
document.write( "n(A or B) = 310,000 people are obese, diabetic, or both.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(310,000)/(1,000,000) = 0.31 = 31% of the population is obese, suffers from diabetes, or both.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: 31%<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );