https://file.aiquickdraw.com/mathbot/file/17261027270877fd6g6i2.jpg

The problem asks for an inequality to represent how many $20 bills you can withdraw from a checking account without going below the minimum balance of $50. You currently have $280 in the account.

Let's define the number of $20 bills you can withdraw as $ x $. Each $20 bill reduces the account balance by $20, so the amount you withdraw is $ 20x $.

### Inequality Setup:
You want to make sure that after withdrawing money, your balance is at least $50. The inequality for this is:

\[
280 - 20x \geq 50
\]

Now, let's solve this inequality:

### Solving the Inequality:

1. Subtract 50 from both sides:
   \[
   280 - 20x \geq 50
   \]
   
   Subtract 50 from both sides:
   \[
   280 - 20x \geq 50
   \]
   \[
   230 \geq 20x
   \]

2. Divide both sides by 20:
   \[
   \frac{230}{20} \geq x
   \]
   \[
   11.5 \geq x
   \]

Since $ x $ must be an integer (you can't withdraw half a $20 bill), the maximum number of $20 bills you can withdraw is 11.

### Final Answer:
You can withdraw up to **11 $20 bills** without going below the minimum balance of $50.

Would you like further details, or do you have any questions?

Here are 5 related questions for practice:
1. What would happen if the balance was $300 instead of $280? 
2. How would the inequality change if you could withdraw $50 bills instead?
3. What if the minimum balance requirement was $100 instead of $50?
4. How would you adjust the inequality if you had $10 bills instead of $20 bills?
5. How does increasing the minimum balance affect the number of $20 bills you can withdraw?

**Tip**: Always check whether your answer makes sense in the context of the problem. In this case, since you can't withdraw a fraction of a $20 bill, it's important to round down to the nearest whole number.

You must maintain a minimum balance of $50 in your checking account. You currently have a balance of $280. Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.

Learn how to solve an inequality to determine how many $20 bills you can withdraw from a $280 account without dropping below a minimum balance of $50. This algebra problem covers key concepts for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation