acalculator

How much are my coins worth?

Type how many coins of each kind you have, or switch to weight and type what each kind weighs. The coin calculator adds up the dollar value, counts the coins, and gives their weight.

Your numbers

Units
I know the
Total value
$13.47

Your 114 coins are worth $13.47.

Number of coins
114
By kind
37 pennies = $0.37; 12 nickels = $0.60; 25 dimes = $2.50; 40 quarters = $10.00
Total weight (g)
436
Total weight (lb)
0.96

Total value: $13.47. Your 114 coins are worth $13.47.

How to calculate

Adds up the dollar value of US coins from how many of each you have, or estimates the count and value from the weight of each kind, with the total weight.

Example with the default inputs (I know the Number of coins, Pennies 37, Nickels 12, Dimes 25, Quarters 40, Half dollars 0, Dollar coins 0): Your 114 coins are worth $13.47.

Method: total = 1¢ × pennies + 5¢ × nickels + 10¢ × dimes + 25¢ × quarters + 50¢ × half dollars + $1 × dollar coins; by weight, each count = weight ÷ one coin’s weight, rounded to the nearest whole coin.

  • Coins weigh the US Mint’s standard weights: cent 2.500 g (copper-plated zinc, 1982 and later), nickel 5.000 g, dime 2.268 g, quarter 5.670 g, half dollar 11.340 g, dollar 8.100 g.
  • Worn coins weigh a little less, and pennies from before 1982 weigh 3.11 g, so a count by weight is an estimate.
  • Weigh the coins without the jar or bag.

Machine-readable copies: Markdown, JSON.

Worked examples

Each example is checked against the calculator on every build.

  1. I know the Number of coins, Pennies 37, Nickels 12, Dimes 25, Quarters 40, Half dollars 0, Dollar coins 0 gives Total value $13.47, Number of coins 114, Total weight (g) 436.Source: United States Mint, Coin Specifications (weights: cent 2.500 g, nickel 5.000 g, dime 2.268 g, quarter 5.670 g, half dollar 11.340 g, dollar 8.100 g). https://www.usmint.gov/learn/coins-and-medals/circulating-coins/coin-specifications
  2. I know the Weight of coins, Weight of quarters 1 lb gives Number of coins 80, Total value $20.00, By kind 80 quarters = $20.00.Source: United States Mint, Coin Specifications (weights: cent 2.500 g, nickel 5.000 g, dime 2.268 g, quarter 5.670 g, half dollar 11.340 g, dollar 8.100 g). https://www.usmint.gov/learn/coins-and-medals/circulating-coins/coin-specifications
  3. I know the Number of coins, Pennies 0, Nickels 0, Dimes 0, Quarters 0, Half dollars 3, Dollar coins 2 gives Total value $3.50, Number of coins 5, By kind 3 half dollars = $1.50; 2 dollar coins = $2.00.Source: United States Mint, Coin Specifications (weights: cent 2.500 g, nickel 5.000 g, dime 2.268 g, quarter 5.670 g, half dollar 11.340 g, dollar 8.100 g). https://www.usmint.gov/learn/coins-and-medals/circulating-coins/coin-specifications

How it works

Each coin’s value in cents: penny 1, nickel 5, dime 10, quarter 25, half dollar 50, dollar coin 100.

  • By count: total cents = Σ count × value. The total in dollars is total cents ÷ 100, added in whole cents, so it is exact.
  • By weight: each count = the weight of that kind ÷ the weight of one coin, rounded to the nearest whole coin (a half rounds up; a quotient within 10⁻⁹ relative below a half, from float division, counts as the half). Then the total is added as above.
  • Number of coins is the sum of the counts. Total weight = Σ count × one coin’s weight, in grams and in pounds (grams ÷ 453.59237).

US Mint weights for one coin: cent 2.500 g, nickel 5.000 g, dime 2.268 g, quarter 5.670 g, half dollar 11.340 g, dollar coin 8.100 g.

Rules

  • Counts are whole numbers from 0 to 1,000,000,000. Weights are from 0 to 10,000 kg, or empty for none.
  • With no coins at all (every count 0, or every weight less than half a coin), there is no answer.
  • By kind lists each kind with a count above 0, in the order pennies, nickels, dimes, quarters, half dollars, dollar coins, as 40 quarters = $10.00, joined by ; . One coin uses the singular (1 penny). Counts and dollars have thousands commas.

Output format. The total is money to the cent; the total weight shows 1 decimal in grams and 2 in pounds.

Worked examples by hand

37 pennies, 12 nickels, 25 dimes, 40 quarters. 37 × 1 + 12 × 5 + 25 × 10 + 40 × 25 = 37 + 60 + 250 + 1,000 = 1,347¢ = $13.47 in 114 coins. Weight 37 × 2.5 + 12 × 5 + 25 × 2.268 + 40 × 5.67 = 92.5 + 60 + 56.7 + 226.8 = 436.0 g.

One pound of quarters. 453.59237 g ÷ 5.670 g = 79.9987, which rounds to 80 quarters = $20.00.

3 half dollars and 2 dollar coins. 3 × 50 + 2 × 100 = 350¢ = $3.50 in 5 coins.

Other questions people ask

How do I count the value of my coins?

Multiply each count by its value and add: pennies 1¢, nickels 5¢, dimes 10¢, quarters 25¢, half dollars 50¢, dollar coins $1. 37 pennies, 12 nickels, 25 dimes and 40 quarters are 37 + 60 + 250 + 1,000 = 1,347¢ = $13.47.

How many quarters are in a pound?

A quarter weighs 5.670 g and a pound is 453.59237 g, so a pound of quarters is about 453.59 ÷ 5.67 = 80 quarters, or $20.

How much does each US coin weigh?

The US Mint gives: cent 2.500 g, nickel 5.000 g, dime 2.268 g, quarter 5.670 g, half dollar 11.340 g, and dollar coin 8.100 g.

How accurate is counting coins by weight?

Close, but not exact. Worn coins weigh a little less than new ones, and pennies from before 1982 weigh 3.11 g, not 2.5 g. The page rounds each count to the nearest whole coin. Weigh each kind on its own, without the jar.

Why is a dime lighter than a penny?

Coin weights do not follow their values. A dime is 2.268 g of copper and nickel, smaller than a 2.500 g penny, but worth ten times as much.