All Fermi answers
Fermi #99 · Question 1

How many 8 oz (240 ml) cups of coffee can you brew from one arabica coffee tree's yearly harvest, using 0.5 oz (14 g) of ground coffee per cup?

Explore the official answer and the simple reasoning behind this Fermi estimate.

1QUESTION 1 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

32

cups

How to estimate it

Fermi’s official “Napkin math”

A coffee tree is a big bush covered in red cherries. How many? Maybe 2,000, with 2 beans inside each. How many beans make one cup? A small handful, call it 100.

Cherries on a tree
~2,000
Beans per cherry
× 2
Beans per cup
÷ 100
2,000 × 2 ÷ 100
≈ 40

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
One coffee tree's yearly harvest, roasted (Starbucks)
≈ 1 lb (454 g)
Ground coffee per 8 oz (240 ml) cup
÷ 14 g
454 ÷ 14
≈ 32

Reference cited by Fermi: Starbucks Coffee Blog, 'Roast Story': each coffee tree produces the equivalent of about a pound of roasted beans per year · Specialty Coffee Association Golden Cup standard: 55 g of coffee per liter of water, about 12 to 14.5 g for an 8 oz (240 ml) cup

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