a cashier has a total of $4900 in $50 and $100 bills. if there are five times as many $50 bills as $100 bills, how many $100 bills are there?

Let the number of $100 bills be represented by $ x $. Since there are five times as many $50 bills as $100 bills, the number of $50 bills would be $ 5x $.

Now, we can set up an equation based on the total value of the bills:

\[
100x + 50(5x) = 4900
\]

Simplify the equation:

\[
100x + 250x = 4900
\]

\[
350x = 4900
\]

Now, solve for $ x $:

\[
x = \frac{4900}{350} = 14
\]

Thus, there are **14 $100 bills**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How many $50 bills are there in this scenario?
2. What is the total value of the $100 bills?
3. What is the total value of the $50 bills?
4. If the total amount were increased to $9800, how many $100 bills would there be?
5. How would the number of $50 bills change if there were 10 times as many $50 bills as $100 bills?

**Tip:** Setting up clear equations based on variables can simplify solving word problems involving money.

A cashier has a total of $4900 in $50 and $100 bills. If there are five times as many $50 bills as $100 bills, how many $100 bills are there?

Solve the problem of finding the number of $100 bills in a total of $4900, where there are five times as many $50 bills. Learn to use linear equations to calculate the answer, suitable for students in Grades 6-8.

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