Example 2
The sophomore class at Madison High has 400 students. If 75 students are band members, 115
belong to sports teams, and 15 do both, how many students are not involved with sports or band?
Band = 75
Sports = 115
60
15
100
Band only
Sports only
x
Neither band nor sports
Both band and
sports
60 + 15 + 100 + x = 400;!x = 225 students not in band or sports
Problems
For problems 1–3, using the Venn diagram given, place each of the following figures in the
appropriate locations.
Rhombus, rectangle, square, kite, regular hexagon, isosceles triangle,
parallelogram and a trapezoid.
1.
#1: Has at
#2: Has at
#1
#2
least one pair
least two sides
of parallel
of equal
sides.
length.
2.
#1: Has only
#2: Has a
#1
#2
three sides.
right angle.
3.
#1: Quadrilateral
#2: Equilateral
#1
#2