Math

QuestionFind the number of students in either Chemistry or Physics if there are 91 in Chemistry, 70 in Physics, and 20 in both.

Studdy Solution

STEP 1

Assumptions1. The number of students in the Chemistry class is91. The number of students in the Physics class is703. The two classes meet at different hours4. There are20 students who are enrolled in both classes

STEP 2

First, we need to find the total number of students in both classes. We can do this by adding the number of students in the Chemistry class and the Physics class.
Totalstudents=Chemistrystudents+PhysicsstudentsTotal\, students = Chemistry\, students + Physics\, students

STEP 3

Now, plug in the given values for the number of students in the Chemistry class and the Physics class to calculate the total number of students.
Totalstudents=91+70Total\, students =91 +70

STEP 4

Calculate the total number of students in both classes.
Totalstudents=91+70=161Total\, students =91 +70 =161

STEP 5

Now that we have the total number of students in both classes, we need to subtract the number of students who are enrolled in both classes to avoid double counting.
Studentsineitherclass=TotalstudentsBothclassesstudentsStudents\, in\, either\, class = Total\, students - Both\, classes\, students

STEP 6

Plug in the values for the total number of students and the number of students in both classes to calculate the number of students in either class.
Studentsineitherclass=16120Students\, in\, either\, class =161 -20

STEP 7

Calculate the number of students who are either in the Physics or Chemistry class.
Studentsineitherclass=16120=141Students\, in\, either\, class =161 -20 =141There are141 students who are either in the Physics or Chemistry class.

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