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 #29572 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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?\r \n" ); document.write( "\n" ); document.write( "This is a Venn Diagram Problem. \n" ); document.write( "Draw a rectangle and indicate there are 26 students in it. \n" ); document.write( "Draw two intersecting circles in the rectangle. \n" ); document.write( "14 speak Japanese and 18 speak Spanish. That adds up to 32 which \n" ); document.write( "is 6 more that there are sudents. So put a 6 in the intersection \n" ); document.write( "of the two circle. This represents the students who speak both \n" ); document.write( "languages. \n" ); document.write( "Label one of the circles Spanish and the other circle Japanese. \n" ); document.write( "The Spanish circle needs to have 18 students in it so there must \n" ); document.write( "be 18-6=12 who speak Spanish but do not speak Jananese. \n" ); document.write( "The Jananese circle needs to have 14 students in it so there must \n" ); document.write( "be 14-6=8 students who speak Japanese and do not speak Spanish.\r \n" ); document.write( "\n" ); document.write( "See the picture? \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |