A survey of 1000 students at a certain school has been conducted on their preferred subjects (Math, Science, or English). The results are: 120 students like Math only. 200 students like Science only. 150 students like English only. 370 students prefer Math or Science but not English. 450 students prefer Science or English but not Math. 420 students prefer Math or English but not Science. How many students like Math, Science, and English?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A survey of 1000 students at a certain school has been conducted on their
preferred subjects (Math, Science, or English). The results are:
120 students like Math only.
200 students like Science only.
150 students like English only.
370 students prefer Math or Science but not English.
450 students prefer Science or English but not Math.
420 students prefer Math or English but not Science.
How many students like Math, Science, and English?
Transcribed Image Text:A survey of 1000 students at a certain school has been conducted on their preferred subjects (Math, Science, or English). The results are: 120 students like Math only. 200 students like Science only. 150 students like English only. 370 students prefer Math or Science but not English. 450 students prefer Science or English but not Math. 420 students prefer Math or English but not Science. How many students like Math, Science, and English?
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