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Answer to Q152

In a class of 500 students, 350 take mathematics and 284 take science. How many take both mathematics and science? (All take math and/or science.)

Let the total number of student be A
So, A = 500

Let the total number of students that takes mathematics be M
So, M = 350

Let the total number of students that takes science be S
So, S = 284

Let the total number of students that takes both mathematics and science be X

And we are told all of them takes mathematics and/or science, which means each student must take mathematics or science or both.

So, the total number of student must be equal to the total that takes mathematics + number that takes science - number that takes both.

A = M + S - X
500 = 350 + 284 - X
500 = 634 - X
X = 634 - 500
x = 134

Answer: 134

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714 viewsNov 28, 2021 at 11:56

Answer to Q152

In a class of 500 students, 350 take mathematics and 284 take science. How many take both mathematics and science? (All take math and/or science.)

Let the total number of student be A
So, A = 500

Let the total number of students that takes mathematics be M
So, M = 350

Let the total number of students that takes science be S
So, S = 284

Let the total number of students that takes both mathematics and science be X

And we are told all of them takes mathematics and/or science, which means each student must take mathematics or science or both.

So, the total number of student must be equal to the total that takes mathematics + number that takes science - number that takes both.

A = M + S - X
500 = 350 + 284 - X
500 = 634 - X
X = 634 - 500
x = 134

Answer: 134

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