Calculating Change How Much Balance Will Ahmad Receive

Introduction: Understanding the Problem

In this mathematics problem, we delve into a practical scenario involving a purchase and the calculation of change. Ahmad's bicycle purchase is the core of the problem, offering a relatable context for understanding basic arithmetic operations. The problem is straightforward yet requires careful attention to detail, making it an excellent exercise for honing mathematical skills. We'll break down the problem step by step, ensuring clarity and accuracy in our calculations. This introduction sets the stage for a comprehensive exploration of the problem, highlighting the importance of mathematical literacy in everyday situations. Let's begin by examining the specifics of Ahmad's purchase and how we can determine the balance he should receive.

Breaking Down the Purchase: Bicycle and Lock Costs

To solve this problem, we must first identify the key information provided. The cost of the bicycle is RM1,000, and the cost of the lock is RM80. These are the two primary expenses that Ahmad incurred. To determine the total amount Ahmad spent, we need to combine these two costs. This step involves addition, a fundamental mathematical operation. Understanding how to accurately add these amounts is crucial for progressing toward the final solution. Without correctly identifying the total expenses, we cannot accurately calculate the balance Ahmad will receive. This section emphasizes the importance of carefully extracting relevant data from the problem statement and applying the appropriate mathematical operation to find the total cost.

Calculating Total Expenses: Adding the Costs

Now that we've identified the individual costs, we can proceed with calculating the total expenses. This involves adding the bicycle cost (RM1,000) and the lock cost (RM80). The sum represents the total amount Ahmad spent before receiving any change. Accurate addition is essential here, as an error in this step will cascade through the rest of the problem, leading to an incorrect final answer. This part of the solution demonstrates a straightforward application of arithmetic, but it underscores the need for precision and attention to detail. Once we have the total expenses, we can move on to calculating the balance Ahmad should receive.

Total Expenses = Bicycle Cost + Lock Cost
Total Expenses = RM1,000 + RM80
Total Expenses = RM1,080

Determining the Balance: Subtraction is Key

With the total expenses calculated, we can now determine the balance Ahmad will receive. Ahmad paid RM2,000, and his total expenses were RM1,080. To find the balance, we need to subtract the total expenses (RM1,080) from the amount paid (RM2,000). This subtraction operation will give us the difference, which represents the change Ahmad should receive. This step is crucial for solving the problem, as it directly answers the question posed. The accuracy of this subtraction is paramount for arriving at the correct balance. This section highlights the importance of understanding the relationship between the amount paid, total expenses, and the balance, reinforcing the concept of subtraction in a practical context.

Balance = Amount Paid - Total Expenses
Balance = RM2,000 - RM1,080

The Final Answer: Calculating the Change

The final step in solving this problem is performing the subtraction to find the balance. Subtracting RM1,080 from RM2,000 gives us the amount Ahmad will receive as change. This calculation requires careful attention to ensure accuracy. The result of this subtraction is the ultimate answer to the problem. Let's perform the calculation:

Balance = RM2,000 - RM1,080
Balance = RM920

Therefore, Ahmad will receive RM920 in balance. This final answer concludes the problem-solving process, demonstrating the application of basic arithmetic operations in a real-world scenario.

Conclusion: Reviewing the Steps and the Solution

In conclusion, we have successfully solved the problem of calculating Ahmad's balance after purchasing a bicycle and a lock. We began by identifying the costs of the bicycle (RM1,000) and the lock (RM80). Next, we calculated the total expenses by adding these two amounts together, arriving at a total of RM1,080. Then, we subtracted the total expenses from the amount Ahmad paid (RM2,000) to determine the balance. This subtraction yielded a balance of RM920. This step-by-step approach ensures clarity and accuracy in problem-solving. The final answer, RM920, represents the change Ahmad should receive. This exercise underscores the importance of basic arithmetic skills in everyday financial transactions. By breaking down the problem into manageable steps, we were able to arrive at the correct solution with confidence. This problem serves as a practical example of how mathematical concepts are applied in real-life situations, emphasizing the relevance of mathematics education.