All Fermi answers
Fermi #108 · Question 2

How much maple sap does it take to make 1 gallon (3.8 liters) of maple syrup?

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

2QUESTION 2 OF 3

Answer & explanation

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

Answer & explanation

Official answer

40

gallons

How to estimate it

Fermi’s official “Napkin math”

Maple syrup is super sweet, over half sugar at least. Sap isn't nearly that sweet. How much sugar is in it? Maybe 2%. So it has to be cooked down about 25 times, which means you start with 25 times as much.

Sugar in syrup
~50%
Sugar in sap
≈ 2%
Cooked down
≈ 25 times
1 gallon × 25
≈ 25 gal

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

Source calculation & reference
Rule of 86: 86 ÷ sap sugar %, at 2% sugar
≈ 43 gal
Same rule at 2.5% sugar
≈ 35 gal
Usual rule of thumb for producers
≈ 40 gal
≈
40

Reference cited by Fermi: Iowa State Extension: 43 gal at 2% sugar · NASDA maple survey training: about 40 gal

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