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135 high-school freshmen were interviewed:
-35 of them took physical education (P.E.);
-42 took BIO (biology);
-60 took ENG (English);
-10 took P.E. and BIO;
-15 took P.E. and ENG;
-7 took BIO and ENG; and
-5 took all three subjects.
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How many students took none of the subjects?
How many students took P.E. but not BIO?
How many students took ENG but neither BIO nor P.E.?

Respuesta :

ajinems

The number of students that did none of the subjects=27

The students that took P.E but not BIO=25

The number of students that took ENG but neither BIO nor P.E.=33

Calculation of students for each subject

  • The number of students that did none of the subjects cam be gotten by addition of all the students that took the various subjects minus the 5 students.

That is , (15+10+7)-5= 32-5 = 27

  • The number of students that took P.E. but not BIO = 35-10

not BIO = 35-10 = 25

  • The number of students that took ENG but neither BIO nor P.E.= 60 - (15+5+7)

= 60- 27

= 33

Learn more about addition here:

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Answer:

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Step-by-step explanation:

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