document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243081>Question 243081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a group of 15 students, 7 can speak Spanish, 8 can speak French, and 3 can speak neither of the two languages. What fraction of the group can speak both French and Spanish?\r<BR>\n" );
document.write( "\n" );
document.write( "**I don't understand where \"3 can speak neither of the two languages.\"  Its says 15 students in a group, doesn't 7+8=15...what does it mean by the other 3?? Not sure how to go about solving this one.\r<BR>\n" );
document.write( "\n" );
document.write( "And also what does it mean by asking \"What fraction of...\" Make a whole number a fraction? Does that mean the same as \"a part of\"?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178094 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=178094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a group of 15 students, 7 can speak Spanish, 8 can speak French, and 3 can speak neither of the two languages. What fraction of the group can speak both French and Spanish?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Draw a Venn diagram: a rectangle with two intersecting circles inside.<BR>\n" );
document.write( "Label the rectangle with 15 (the number of students in the group).<BR>\n" );
document.write( "Label one circle as \"spanish\" = 7, the other as \"french\" = 8<BR>\n" );
document.write( "Put a 3 in the rectangle but not in either circle.<BR>\n" );
document.write( "------------------------------------------------------------<BR>\n" );
document.write( "Find the number that speak both languages:<BR>\n" );
document.write( "12 of the students must be in the two circles<BR>\n" );
document.write( "#(span OR french) = #(span)+ #(french) - #(span AND french)<BR>\n" );
document.write( "12 = 8 + 7 - #(span AND french)<BR>\n" );
document.write( "#(span AND french) = 15-12 = 3<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "What fraction of the group can speak both French and Spanish?<BR>\n" );
document.write( "Ans: 3/15 = 1/5<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================= <BR>\n" );
document.write( "**I don't understand where \"3 can speak neither of the two languages.\" Its says 15 students in a group, doesn't 7+8=15...what does it mean by the other 3?? Not sure how to go about solving this one. <BR>\n" );
document.write( "And also what does it mean by asking \"What fraction of...\" Make a whole number a fraction? Does that mean the same as \"a part of\"??<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );