Question

Some children were asked to name their favourite flavour of ice cream. The result is shown in the following pie chart.

Find the number of children who said chocolate was their favourite flavour if 12 students had said that vanilla is their favourite flavour.

• A. 25
• B. 15
• C. 10
• D. 16

Answer 1

The correct option is D

16

Given: when 12 students said vanilla is their favourite and angle of the sector = 90⁰.

It implies that$\frac{90}{360}\times \text{total students}=12\text{students}$

Therefore, total students $=\frac{12\times 360}{90}=48\text{students}$

On observing the graph, we see that the angle of sector of those children who chose chocolate as their favourite flavour is 120⁰.

So, the number of students who said chocolate is their favourite is$\frac{120}{360}\times 48=16\text{students}$