Ice Cream Pie

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

$90$ chocolate ice creams were sold.

The angle occupied by the 'chocolate' sector is $1/2(360^{\circ} - 90^{\circ}) = 135^{\circ}$. This is $1.5$ times bigger than the 'strawberry' sector and hence the number of chocolate ice creams sold is $1.5 \times 60 = 90$.

This problem is taken from the UKMT Mathematical Challenges.