Problem 47 - Algebra 1

Question

Turner Field in Atlanta, GA, has \(49,831\) seats. Jacobs Field in Cleveland, OH, has \(43,368\) seats. How many seats would need to be added to Jacobs Field for it to have as many seats as Turner Field?

Step-by-Step Solution

Answer

The number of seats that need to be added to the Jacobs Field in order to match the seating capacity of the Turner Field is \(49831 - 43368 = 6463\) seats.

Step 1: Determining the given values

The number of seats at Turner Field in Atlanta, GA, is \(49,831\) and the number of seats at Jacobs Field in Cleveland, OH, is \(43,368\).

Step 2: Subtract the Smaller Value from the Larger One

The idea here is to find the difference between two values. That means subtracting the smaller value (the number of seats in Jacobs Field) from the larger value (the number of seats in Turner Field). The formula for this operation is: Difference = Larger value - Smaller value. In this case, Difference = Number of seats at Turner Field - Number of seats at Jacobs Field = 49831 - 43368.

Step 3: Calculate the Difference

By calculating the subtraction 49831 - 43368, we obtain the difference, which represents the number of seats that need to be added to the Jacobs Field for it to have the same number of seats as the Turner Field.

Key Concepts

Understanding Subtraction

Subtraction is one of the fundamental operations in arithmetic. It involves finding the difference between two numbers. In more simple terms, you take a larger number and remove the smaller number from it. Here are some key points about subtraction:

• It is denoted by the minus sign (-).
• Subtraction can be thought of as "taking away" or "finding the difference" between two numbers.
• The number you start with is known as the "minuend," and the number you subtract is called the "subtrahend." The result is known as the "difference."

In our exercise, Turner Field has 49,831 seats ( ``` minuend ``` ) and Jacobs Field has 43,368 seats ( ``` subtrahend ``` ). By subtracting the two, you find how many seats need to be added to make them equal.

Approaching Problem Solving

Problem solving in math involves identifying a question and using logical reasoning to find a solution. Here are some tips to get started:

• Clearly understand what is being asked: In this exercise, the question is about how many more seats Jacobs Field would need to equal Turner Field.
• Identify given information: Gather all the numbers and data presented in the problem.
• Choose the correct operation to solve the problem: In this case, since we're finding out "how many more," we use subtraction.

Once you follow these logical steps, you can systematically come to find your answer.

Solving Word Problems

Math word problems require you to translate real-world scenarios into mathematical equations. Here's how you can tackle them:

• Read the problem carefully: Identify key information and any numbers involved.
• Understand the context: Recognize what the problem is about and what you're solving for.
• Create an equation: Formulate your math sentence using the information you have. In our problem, the subtraction equation is clearly laid out from the sentence "How many seats would need..."
• Solve the equation: Perform the required operation, then double-check your result to ensure it makes sense.

In the exercise example, we simply subtract one stadium's seats from the other to find the amount needed to equalize their capacity. This strategic approach can make solving word problems much easier.