Question

KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30

Answer 1

Answer:

a. 15 students

b. 32 students

c. 35 students

d. 34 students

e. 55 students

f. 67 students

Step-by-step explanation:

See attachment for complete question

Solving (a): Tricycle, Motorcycle and Car

This is the intersection of Tricycle, Motorcycle and Car.

From the attached Venn diagram, there are 15 students in this category

Solving (b): Tricycle and Motorcycle.

This is the intersection of Tricycle and Motorcycle.

From the attached Venn diagram, we observe the following data:

$Tricycle\ and\ Motorcycle\ only =17$

$All = 15$

$Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only$

$Tricycle\ and\ Motorcycle = 15 + 17$

$Tricycle\ and\ Motorcycle = 32$

Solving (c): Car and Motorcycle.

This is the intersection of Car and Motorcycle.

From the attached Venn diagram, we observe the following data:

$Car\ and\ Motorcycle\ only = 20$

$All = 15$

So:

$Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only$

$Car\ and\ Motorcycle = 15 + 20$

$Car\ and\ Motorcycle = 35$

Solving (d): Car and Tricycle.

This is the intersection of Car and Tricycle.

From the attached Venn diagram, we observe the following data:

$Car\ and\ Tricycle\ only = 19$

$All = 15$

So:

$Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only$

$Car\ and\ Tricycle = 15 + 19$

$Car\ and\ Tricycle = 34$

Solving (e): Car only

From the attached Venn diagram, we observe the following data:

$Car\ only = 55$

Solving (e): Motorcycle only

From the attached Venn diagram, we observe the following data:

$Motorcycle\ only = 67$