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Ice Cream Pie

Age 11 to 14 Short Challenge Level:

$90$ 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, so the number of chocolate ice creams sold is $1.5 \times 60 = 90$.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.