document.write( "Question 44687: There are 26 students in fifth grade class. All of the students speak either Spanish or Japanesee, and some speak both languages. If 18 of the students speak Spanish and 14 can speak Japanese, How many speak both Spanish and Japanese and how many speak Spanish, but not Japanese? \n" ); document.write( "

Algebra.Com's Answer #29575 by josmiceli(19441) $\"\"$ $\"About$

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Draw 2 circles that overlap. One circle contains the
\n" ); document.write( "18 students that speak Spanish. There are are no Spanish
\n" ); document.write( "speakers outside this circle. The other circle contains
\n" ); document.write( "the 14 Japanese speakers, with no Japanese speakers
\n" ); document.write( "outside the circle.
\n" ); document.write( "Ther are only 26 students, but 18 + 14 = 32 languages being
\n" ); document.write( "spoken among them.
\n" ); document.write( "s = Spanish spoken only
\n" ); document.write( "b = Spanish and Japanese spoken
\n" ); document.write( "j = Japanese only
\n" ); document.write( "s + b + b + j = 32
\n" ); document.write( "b + b languages are spoken by b students
\n" ); document.write( "s + b + j = 26
\n" ); document.write( "s + b = 18
\n" ); document.write( "j + b = 14
\n" ); document.write( "----------------------
\n" ); document.write( "18 + j = 26
\n" ); document.write( "j = 8
\n" ); document.write( "s + 14 = 26
\n" ); document.write( "s = 12
\n" ); document.write( "12 + 2b + 8 = 32
\n" ); document.write( "2b = 12
\n" ); document.write( "b = 6
\n" ); document.write( "----------------------
\n" ); document.write( "so, 6 students speak both languages
\n" ); document.write( "and 12 speak only Spanish
\n" ); document.write( " \n" ); document.write( "

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