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

a. 15 students

b. 32 students

c. 35 students

d. 34 students

e. 55 students

f. 67 students

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`