The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

A.

\(3\frac{1}{3}\) hours

B.

5 hours

C.

8 hours

D.

12 hours

Correct answer is D

Let x represent the total number of hours spent per week

\(∴ \frac{75}{360} \times x = \frac{5}{2}\)

\(∴ x = \frac{360 \times 5}{725 \times 2}=12 hours\)