Question

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

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

• A. 6
• B. 3
• C. 0
• D. 5

Answer 1

The correct option is A

6

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

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

$\therefore \text{Total number of students}=\frac{12\times 360}{90}=48\text{students}$

On observing the graph, we see that the angle of sector of those children who chose mint as their favourite flavour is 45⁰.

So, the number of students who said Mint is their favourite is$\frac{45}{360}\times 48=6$students