document.write( "Question 1122360: In a class of 4o students,23 are studying japanese,18 are studying korean and 10 are studying both japanese and korean.How many students are not taking any foreign language.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #738467 by ikleyn(52782) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In a class of $\"highlight%28cross%284o%29%29\"$ 40 students, 23 are studying Japanese,18 are studying Korean and 10 are studying
\n" ); document.write( "both Japanese and Korean. How many students are not taking any foreign language.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The number of students who study at least one of these two languages is \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    23 + 18 - 10 = 31.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I subtracted \"10\" from the sum of 23 and 18, because in this sum I counted twice those who study both languages.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the number of those in the class who does not take any of these two foreign languages is 40 - 31 = 9.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  9 students in the class do not take any of these two foreign languages.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Counting elements in sub-sets of a given finite set\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );