All Fermi answers
Fermi #45 · Question 1

How many olives does it take to fill a bottle of olive oil (1 liter, 34 oz)?

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

1,700

olives

How to estimate it

Fermi’s official “Napkin math”

An olive weighs about 3 grams. How much of it is oil? Only a fifth or so, which is well under a gram each. A liter of oil weighs roughly 900 grams.

Oil per olive
≈ 0.6 g
A liter of oil weighs
≈ 900 g
900 ÷ 0.6
≈ 1,500 olives

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

Source calculation & reference
Olives pressed per liter of oil
≈ 5 kg (11 lb)
One olive weighs
≈ 3 g
5,000 g ÷ 3 g
≈ 1,700 olives

Reference cited by Fermi: International Olive Council production costs study, which puts average mill yield near 18%

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