Student Ownership of Pets and Vehicles

This video tutorial focuses on solving problems using Venn diagrams. It begins with an introduction to Venn diagrams, followed by three example problems involving pet ownership, language studies, and vehicle ownership. Each problem is solved step-by-step, demonstrating how to calculate totals, find missing elements, and use algebraic methods to solve Venn diagram problems.

How many students own only cats if 20 own cats and 8 own both cats and dogs?

• 20

• 28

• 12

• 8

What is the total number of students surveyed if 12 own only cats, 17 own only dogs, 8 own both, and 12 own neither?

• 52

• 45

• 50

• 49

Which method involves using the initial information without a Venn diagram to find the total number of students?

• Geometric Method

• Statistical Method

• Algebraic Method

• Graphical Method

If 16 students study Spanish and 5 study both Spanish and French, how many study only Spanish?

• 11

• 16

• 5

• 21

How many students study neither Spanish nor French if 11 study only Spanish, 14 study only French, and 5 study both?

• 20

• 10

• 5

• 15

In the car and SUV problem, what is the missing element that needs to be calculated?

• Both

• Neither

• Only SUVs

• Only Cars

What does the variable 'b' represent in the formula for calculating total students?

• Students owning neither

• Students owning both cars and SUVs

• Students owning only SUVs

• Students owning only cars

If 40 students own cars and 25 own SUVs, how many own both if 47 own neither?

• 15

• 12

• 8

• 10

How many students own only a car if 40 own cars and 12 own both cars and SUVs?

• 32

• 28

• 25

• 30

What is the total number of students if 28 own only cars, 13 own only SUVs, 12 own both, and 47 own neither?

• 90

• 110

• 95

• 100