Question

In a class of 50 students, every student had to study Government or Economics or both. If 38 students studied Government and 28 studied Economics, how many students studied both subjects?

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Answer 1

In a class of 50 students, 16 students studied both Government and Economics.

Step-by-step explanation:

In order to determine the number of students who studied both Government and Economics, we can use the principle of inclusion-exclusion.

First, we add the number of students who studied Government (38) and the number of students who studied Economics (28): 38 + 28 = 66.

Next, we subtract the total number of students in the class (50) from the sum above: 66 - 50 = 16.

Therefore, 16 students studied both Government and Economics.