All Fermi answers
Fermi #65 · Question 2

How many M&M's would it take to refuel, calorie for calorie, every runner who finishes the Boston Marathon?

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.

M&M's

M&M's

A pile of red, orange, yellow, green and brown M&M's candies scattered over the M&M's logo

Illustration from Fermi.gg

Answer & explanation

Official answer

24,700,000

M&M's

How to estimate it

Fermi’s official “Napkin math”

The Boston Marathon fields about 30,000 runners a year. Running 26 miles burns a lot of energy, maybe 3,000 calories a person. One M&M is basically nothing, worth about 3 calories.

Boston Marathon runners
~30,000
Calories burned each
× 3,000
90 million ÷ 3 cal per M&M
≈ 30 million M&M's

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

Source calculation & reference
Boston Marathon field size (BAA)
≈ 30,000 runners
Avg. calories burned per marathon
× 2,800 kcal
Total calories burned by the field
≈ 84,000,000 kcal
÷ calories per M&M (3.4 kcal)
≈ 24.7 million M&M's

Reference cited by Fermi: Boston Athletic Association official field size (~30,000 entrants, capped field); marathon calorie-burn estimates from sports-science consensus (~100 kcal per mile of running); Mars Wrigley nutrition facts for M&M'S Milk Chocolate (148 cal per 43 pieces ≈ 3.4 cal/piece).

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