There are 20 students taking Econ and 12 students taking Chem. If there are 8 students taking both Econ and Chem, find the total number of students taking Econ or Chem in the group.
Question
There are 20 students taking Econ and 12 students taking Chem. If there are 8 students taking both Econ and Chem, find the total number of students taking Econ or Chem in the group.
Solution
To find the total number of students taking either Econ or Chem, we need to add the number of students taking Econ and the number of students taking Chem. However, since there are students who are taking both, they will be counted twice in this addition. So, we need to subtract the number of students taking both courses to avoid double counting.
Here are the steps:
- Add the number of students taking Econ and Chem: 20 (Econ) + 12 (Chem) = 32
- Subtract the number of students taking both courses: 32 - 8 (both) = 24
So, there are 24 students taking either Econ or Chem.
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