4. In a class of 60 students, 50 offer Biology and 40 offer Physics. If 5 do not offer the two subjects, how many students offer both subjects? $$ \begin{array}{l} ext { A. } 10 ext { B. } 20 ext { C } 35 ext { D } 45\end{array} $$

Question

4. In a class of 60 students, 50 offer Biology and 40 offer Physics. If 5 do not offer the two subjects, how many students offer both subjects? $$ \begin{array}{l}	ext { A. } 10 	ext { B. } 20 	ext { C } 35 	ext { D } 45\end{array} $$

UpStudy AI · Accepted Answer

Let the number of students who offer Biology be $$B = 50$$ and those who offer Physics be $$P = 40$$. Out of a total of 60 students, 5 do not offer the two subjects. Therefore, the number of students offering at least one of the subjects is
$$
\text{At least one} = 60 - 5 = 55.
$$

We use the principle of inclusion and exclusion:
$$
\text{At least one} = B + P - (\text{Both}).
$$

Substituting the known values:
$$
55 = 50 + 40 - (\text{Both}).
$$

Now, solve for the number of students offering both subjects:
$$
\text{Both} = 50 + 40 - 55 = 35.
$$

Thus, $$35$$ students offer both subjects.
35 students offer both Biology and Physics.

In a class of 60 students, 50 offer Biology and 40 offer Physics. If 5 do not offer the
two subjects, how many students offer both subjects?

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Statistics Questions