An engineering professor conducted a survey regarding the favorite subjects of the students. The following data were gathered: 60 students like the subject algebra, 50 like the subject calculus, and 45 like the subject physics. Thirty students like both algebra and calculus subjects, 25 students like both calculus and physics subjects, and 20 students like both algebra and physics subjects. Only 15 students. like all the three subjects. How many students were surveyed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
icon
Related questions
Question
(Hint: Thru Venn Diagram)
An engineering professor conducted a survey
regarding the favorite subjects of the students. The
following data were gathered: 60 students like the
subject algebra, 50 like the subject calculus, and 45
like the subject physics. Thirty students like both
algebra and calculus subjects, 25 students like both
calculus and physics subjects, and 20 students like
both algebra and physics subjects. Only 15 students
like all the three subjects. How many students were
surveyed?
Transcribed Image Text:(Hint: Thru Venn Diagram) An engineering professor conducted a survey regarding the favorite subjects of the students. The following data were gathered: 60 students like the subject algebra, 50 like the subject calculus, and 45 like the subject physics. Thirty students like both algebra and calculus subjects, 25 students like both calculus and physics subjects, and 20 students like both algebra and physics subjects. Only 15 students like all the three subjects. How many students were surveyed?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning