How Much Is 50 20 Dollar Bills?
In math algebra and arithmetic word problems, counting currency can be modeled using multiplication: the total value equals the number of bills times the value of one bill. The phrase “how much is 50 20 dollar bills” is interpreted as 50 bills, each worth $20.
Key idea (units): \(\text{(number of bills)} \times \text{(dollars per bill)} = \text{total dollars}\).
Step 1: Identify the quantities
| Quantity | Meaning | Value |
|---|---|---|
| Number of bills | How many $20 bills are present | 50 |
| Value per bill | Dollars represented by each bill | \(\$20\) |
Step 2: Write an algebraic expression
Let \(n\) be the number of twenty-dollar bills and let \(v\) be the value of one bill in dollars. Then the total value \(T\) is modeled by:
\[ T = n \cdot v \]
Here \(n = 50\) and \(v = 20\).
Step 3: Compute the total value
Substitute the values into the expression:
\[ T = 50 \cdot 20 \]
Multiply:
\[ T = 1000 \]
Result: 50 twenty-dollar bills are worth \(\$1000\).
Reasonableness check (place-value thinking)
Since \(50 = 5 \cdot 10\), the product can be regrouped:
\[ 50 \cdot 20 = (5 \cdot 10) \cdot 20 = 5 \cdot (10 \cdot 20) = 5 \cdot 200 = 1000 \]
This confirms the arithmetic and shows why multiplying by 50 is like taking half of “times 100” for positive numbers.
Visualization: Multiplication as equal groups
Final answer
\(\$20 \times 50 = \$1000\), so the total value of 50 twenty-dollar bills is \(\$1000\).