Problem 119 - Prealgebra

Question

Home remodeling Sophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost \(1,100, the microwave cost \)250, and the dishwasher cost $525. What was the total cost of these three appliances?

Step-by-Step Solution

Answer

The total cost is $1,875.

Step 1: Identify the Costs of Each Appliance

The range costs \(1,100\), the microwave costs \(250\), and the dishwasher costs \$525.

Step 2: Write Down the Addition Equation

To find the total cost, write down the equation that includes all three costs: \[ 1,100 + 250 + 525 \]

Step 3: Add the First Two Costs Together

First, add the cost of the range and the microwave: \[ 1,100 + 250 = 1,350 \]

Step 4: Add the Third Cost

Next, add the cost of the dishwasher to the previously calculated sum: \[ 1,350 + 525 = 1,875 \]

Step 5: Conclusion

The total cost of the range, microwave, and dishwasher is \(1,875\)

Key Concepts

Addition

Addition is one of the basic arithmetic operations. It's a process of finding the total or sum by combining numbers. In this exercise, you are required to find the total cost of three kitchen appliances by summing their prices. The formula for addition can be written as:
\[ a + b + c = \text{Sum} \] Here, a, b, and c are the prices of the appliances. By understanding addition, you can easily total costs and solve various real-world problems.

Real-world Math Problems

Math is not just for the classroom. It plays a key role in our daily lives. In this exercise, Sophia needs to calculate the total cost of her kitchen appliances. This is a real-world math problem. Such problems help you see the relevance of math beyond textbooks. They help build practical problem-solving skills that you will use throughout life. Whether you are managing your budget, shopping for groceries, or planning an event, math is always handy.

Step-by-Step Solutions

A step-by-step approach is crucial for solving math problems efficiently. It simplifies complex problems by breaking them into smaller, manageable steps. In this exercise:

• First, we identified the costs of each appliance.
• Next, we wrote down the addition equation.
• Then, we performed the addition in two stages to avoid mistakes.
• Finally, we arrived at the total cost.

Such a systematic approach helps in understanding each part of the solution distinctly and ensures we don't miss any details.

Cost Calculation

Cost calculation is an essential skill, especially when dealing with finances. It's the process of adding up the prices of items or services to find the total expenditure. In this exercise, Sophia calculated the total cost of her new kitchen appliances. She took the following steps:

• Added the cost of the range and microwave first: \( 1,100 + 250 = 1,350 \)
• Next, added the cost of the dishwasher to the previous sum: \( 1,350 + 525 = 1,875 \)

By mastering cost calculation, you can efficiently manage your finances and make informed decisions when it comes to spending.