Algebra III Page 5

Algebra III Name______Venn Diagrams II Date______

Venn Diagrams

Label and fill in the Venn Diagrams that would represent the following data.

Problem 1:

100 people seated at different tables in a Mexican restaurant were asked if their party had ordered any of the following items: margaritas, chili con queso, or quesadillas

 23 people had ordered none of these items.  11 people had ordered all three of these items.  29 people had ordered chili con queso and quesadillas but did not order margaritas.  13 people had ordered margaritas and quesadillas but had not ordered chili con queso.  70 people had ordered at least two of these items.  57 people had ordered quesadillas.  59 people ordered chili con queso.

How many people ordered only a margarita? ______

Venndiagram1.doc Mr. John Cendrowski Lower Moreland HS Algebra III Page 2 Venn Diagrams II

Problem 2:

A study was made of 200 students to determine which cartoon TV shows they watch.

 22 students don't watch these cartoons.  25 students watch only Tiny Toons.  14 students watch only Animaniacs and Pinky & the Brain.  31 students watch only Tiny Toons and Pinky & the Brain.  22 students watch only Animaniacs and Tiny Toons.  28 students only watch Animaniacs.  33 students only watch Pinky and the Brain.

How many students watch all three cartoons? ______

Problem 3:

150 people at a Dave Matthews concert were asked if they knew how to play piano, drums or guitar.

 18 people could play none of these instruments.  10 people could play all three of these instruments.  47 people could play drums and guitar but could not play piano.  38 people said they could play drums and piano.  105 people could play at least two of these instruments.  The number of players of only one instrument was the same in all three categories.

How many people can play the piano? ______

Problem 4:

A study was made of 200 students to determine which Star Trek shows they watch.

 22 students hated all Star Trek shows.  73 students watch only The Next Generation (TNG).  22 students watch all three shows.  14 students watch only Deep Space 9 (DS9) and Voyager (VOY).  31 students watch only TNG and VOY.  86 students watch at least two of these shows.  63 students watch DS9.

How many students only watch Star Trek Voyager? ______

Problem 5:

A study was made of 1000 rivers to determine what pollutants were in them.

 160 rivers were clean  101 rivers were polluted only with crude oil  654 rivers were polluted with phosphates.  72 rivers were polluted with sulfur compound and crude oil, but not with phosphates.  289 rivers were polluted with phosphates, but not with crude oil.  241 rivers contained all three pollutants.  137 rivers were polluted with only phosphates.

How many rivers contained only sulfur? ______

Venndiagram1.doc Mr. John Cendrowski Lower Moreland HS