While calculating how much money you have based on weight is uncommon, it might come in handy if someone hands you bag of money. For instance, do you know how many $100 bills are in a 20-pound bag?
Each United States dollar bill weighs precisely 1 gram. In 20 pounds, there are 9,071.85 grams. So, if you had 20 pounds in $100 bills, you would have at least $907,100.
Measuring how much money is in a certain amount of weight can be fun. If you’d like to learn more, I invite you to continue reading.
Weight of a Dollar Bill
In US currency, there are 7 commonly used denominations: $1, $2, $5, $10, $20, $50, and $100. Regardless of the denomination, a US banknote will weigh exactly the game—1 gram.
Knowing this, we can easily calculate how much money we would have if we knew how heavy it was. The formula would be as follows:
Value = Denomination × Weight in grams
For instance, if we had 400 grams in $50 bills, we can calculate how much money we have by inputting the values in the formula. So:
- Value = Denomination × Weight in grams
- Value = $50 × 400
- Value = $20,000
You can use the following table as a guide for calculating money based on weight.
Pound-to-Gram Conversion Factor
The problem with calculating the value of a certain weight of money is when you measure in pounds. However, there’s a simple way to convert grams to pounds, which will make it easier to determine the final dollar value.
The conversion factor of pounds to grams is 453.592. In other words, there are 453.592 grams in every pound.
Knowing the conversion factor, we can calculate the value of money by weight by using the following formula:
Value = Denomination × (Weight in pounds × 453.592)
When calculating the value of money by weight in pounds, you will want to round down to the nearest integer. This is because you cannot calculate the value of a dollar by a fraction of its weight.
To illustrate, let’s use the 20-pound bag of $100 bills. We can figure out the total dollar value by inputting the variables we know.
- Value = Denomination × (Weight in pounds × 453.592)
- Value = $100 × (20 × 453.592)
- Value = $100 × 9,071 (rounded down to nearest integer)
- Value = $907,100
In the following table, I will provide several more examples of how you can determine the final dollar value by weight in pounds.
|Denomination||Weight (lbs)||Weight (grams, rounded down)||Value|