96Students Are Enrolled in Physical Science

Venn Diagram Problem: A middle school class consists of 238 students with the following class distribution:

142students are enrolled in Algebra I

106students are enrolled in Geography

96students are enrolled in Physical Science

51students are enrolled in both
Geography and Physical Science

44students are enrolled in both
Geography and Algebra I

50students are enrolled in both
Algebra I and Physical Science

23students are enrolled in all three classes

Complete the Venn diagram to discover how many students are enrolled in one of the classes but not either of the other two and how many are not enrolled in any of the three classes.

______in Algebra I only

______in Geography only

______in Physical Science only

______not in any of these very important classes

The Democratic Party is interested to see how many registered Democrats support the party candidates, so they are conducting an exit poll of registered Democrats to see whom they supported in the elections to the national offices of President, US Senator, and US State Representative. Suppose that in Oklahoma the survey reveals the following data for each 100 registered Democrats:

57voted for the Democratic candidate

for President

62voted for the Democratic candidate

for the US Senate

71voted for the Democratic candidate

for the US House of Representatives

17are party loyalists who voted for all

three of the Democratic candidates

6voted for the Democratic candidate

for Presidentonly

7voted for the Democratic candidate

for the Senate only

8voted only for the Democratic candidate

forthe US House of Representatives

The rest refused comment, so they are probably yellow dog defectors to the party of the peanut snorters.

How many registered Democrats voted for the following combination of candidates?

a.______for President and Representative only
[i.e. not the candidate for the Senate] ( 3 pt.)

b.______for President and Senator only
[i.e. not the candidate for the House]( 3 pt.)

c.______for Senator and US Representative only
[i.e. not the candidate for the Presidency] ( 3 pt.)

d.______for at least one of the Democratic candidates ( 2 pt.)

e.______for none of the Democratic candidates (1 pt)

Venn Diagram Problem: Daniel Boone High School has a student population of 983 students, some of whom are in the following organizations: National Honor Society, Key Club, and the school marching band.

153students are members of
the marching band

116students are members of
the Key Club

98students are members of
the National Honor Society

51students are members of both
the marching band and
the National Honor Society

47students are members of both
the marching band
and the Key Club

53students are members of both the Key Club
and the National Honor Society

24students are members of all three organizations

Complete the Venn diagram to discover how many students are members of only one organization but not members of either of the other two and how many are not members of any of the three organizations.

______in the Key Club only

______in the marching band only

______in the National Honor Society only

______not in any of these organizations

208students are members of
the marching band

110students are members of
the Key Club

98students are members of
the National Honor Society

23students are members of
the National Honor Society only

129students are members of
the marching band only

39students are members
of the Key Club only

31students are members of all three organizations

Complete the Venn diagram to discover how many students are members of only one organization but not members of either of the other two and how many are not members of any of the three organizations.

______in the Key Club and Marching Band
but not in the National Honor Society

______in the marching band and the National Honor Society
but not in Key Club

______in the National Honor Society and Key Club
but not in the marching band

______not in any of these organizations