Problem 65 - Prealgebra

Question

Suppose you eat dinner in a restaurant and the bill comes to \(\$ 16.76\). If you give the cashier a \(\$ 20\) bill and a penny, how much change should you receive? List the bills and coins you should receive for change.

Step-by-Step Solution

Answer

You should receive $3.25 in change, consisting of 3 one-dollar bills and a quarter.

Step 1: Calculate Total Payment

You paid with a $20 bill and a penny, which totals to $20.01.

Step 2: Calculate Change

Subtract the cost of the meal from the total amount you paid: $20.01 - $16.76 = $3.25.

Step 3: Determine Specific Change

Your change should be $3.25. To receive this, you should get 3 one-dollar bills and a quarter (25 cents).

Key Concepts

Problem Solving

When tackling problems like determining how much change you should receive after a restaurant bill, start by understanding the situation fully.
This is essentially about figuring out the difference between the amount you paid and the bill amount.
First, be clear about the total amount you paid and the cost of the item or service.

• Here, you paid $20.01, which means your cash transaction included a $20 bill and an additional penny.
• Next, subtract the bill total ($16.76) from this amount to find how much change is due. This step is essential to understand what you need back.

After you have the change amount, think about the practical part: what bills and coins represent the change? It’s always good to break your problem down into smaller steps when solving such problems. This approach ensures accuracy and enhances your problem-solving skills.

Basic Arithmetic

Basic arithmetic plays a crucial role in calculating change.
Subtraction is often the key operation you will use.

• First, add any cash and coins you are using for the payment to find the total that you are giving to the cashier.
• Then, subtract the cost of the service or product from the total payment.
• Here, you performed the subtraction $20.01 - $16.76 to find the change, which came out to be $3.25.

Basic arithmetic operations, like addition and subtraction, are foundational tools that help in problem-solving and make handling everyday transactions easier and more precise. They are simple operations yet crucial for ensuring you get the correct change back during cash transactions.

Cash Transactions

Understanding cash transactions is essential to managing your money effectively.
When you are completing a cash transaction, knowing the exact amount of change due is important to avoid either confusing the cashier or shortchanging yourself.
For example:

• The change you should receive, $3.25, needs to be accurately translated into bills and coins.
• You would receive three one-dollar bills and one quarter (worth $0.25).

Being familiar with typical denominations of currency helps. It allows you to anticipate and verify the change you should expect. Cash transactions are about ensuring fairness and accuracy in financial exchanges, which is a valuable skill in everyday life.