# Question 23

Jambmaths question:

The pie chart above illustrates the amount of private time a student spends in a week studying various subjects. Find the value of k

Option A:

15o

Option B:

30o

Option C:

60o

Option D:

90o

Jamb Maths Solution:

\begin{align} & \text{Total angle in the pie chart is 36}{{\text{0}}^{\text{o}}} \\ & 2k+{{105}^{o}}+{{75}^{o}}+3k+k={{360}^{o}} \\ & 6k={{360}^{o}}-{{75}^{o}}-{{105}^{o}} \\ & 6k={{180}^{o}} \\ & k={{30}^{o}} \\\end{align}

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