Question

The pie chart shows the number of students who choose different co-curricular activities in a school. An equal number of students choose Basketball and Volleyball and 96 students choose Table Tennis.

The ratio of the number of students who choose Basketball to those who choose Soccer is 2 : 7. How many students choose Soccer?

• A. 158
• B. 160
• C. 168
• D. 172

Answer 1

The correct option is C 168

Let the number of students who choose basketball $=2x$
$\&$ the number of students who choose Soccer $=7x$
From the pie chart, we can see that ${90}^{\circ }$ is equivalent to 96
Hence, $1^{\circ }$ is equivalent to $\frac{96}{90}$
${45}^{\circ }$ is equivalent to $\frac{96}{90}\times 45=48$
Hence, number of students who choose Basketball $=48$
A.T.Q.,
$2x=48$
$x=\frac{48}{2}=24$
Therefore, number of students who choose Soccer $=7x=7\times 24=168$