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# The Perfect Cream Tea, a math formula

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A cream tea,” notes Wikipedia, “is a form of afternoon tea, consisting of tea served with a combination of scones, clotted cream, jam, and sometimes butter.” It’s an English tradition with regional variations.

Jam or cream first? Whipped or clotted cream? How might you achieve The Perfect Cream Tea with the help of math? Dr Eugenia Cheng weighs in on this long held debate in this 2013 video from The University of Sheffield:

The research and resulting formula was based on a suggested ratio of 2:1:1 (by weight). For example the average scone weighing 70g would require 35g of jam and 35g of cream.

“If r is the radius of the scone, then we have the following formulae for the thickness of the jam and the thickness of the cream. This is all in cm.

“With this in mind Dr Cheng’s research concluded:

• Clotted cream is better than whipped cream, primarily due to the excessive volume size of whipped cream required.

• The total thickness of the scone, with all its elements, should be around 2.8cm*. This provides a relaxed open width of the mouth.

• Jam, due to its density, needs to be spread prior to the application of the clotted cream.

• Putting it on after the cream may cause the jam to run off – creating sticky fingers.

• The thickness of the cream should also not be thicker than the scone, as the scone will become off balance whilst trying to eat it.”

The recommendation resulting from Cheng’s research: “Actually we recommend you pile as much jam and cream as you like onto your scone.”

Previously from Cheng: The Sphere-Packing Problem.

This video was posted 2 years ago.

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