According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.
Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:
- Biology:
- 80 x 3/4 = X
- 80 x 0.75 = X
- 60 = X
- Physics:
- 80 x 3/5 = X
- 80 x 0.60 = X
- 48 = X
- 60 + 48 - 80 = X
- 108 - 80 = X
- 28 = X
Therefore, 28 students study both subjects.
- 68 - 28 = 40
- 80 = 1
- 40 = 1/2
Therefore, 1/2 of the class studies biology but not physics.
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