How to Calculate the Cost of a Nail?

What is the cost of the nail in a scenario where a hammer and a nail cost $31, and the hammer cost $30 more than the nail? To calculate the cost of the nail, we can set up an equation based on the given information. Let's denote the cost of the nail as x. Since the hammer costs $30 more than the nail, we can represent the cost of the hammer as x + $30. Given that the total cost of the hammer and the nail is $31, we can write the equation as: x + (x + $30) = $31 Simplifying the equation, we get: 2x + $30 = $31 2x = $31 - $30 2x = $1 x = $1 Therefore, the cost of the nail is $1.

Understanding the Cost Calculation

When faced with a scenario where the combined cost of a hammer and a nail is provided along with the information that the hammer costs a certain amount more than the nail, it is important to analyze the given data logically.

Setting up an Equation: To calculate the cost of the nail, we first need to determine the cost of the hammer relative to the nail. In this case, the hammer costs $30 more than the nail, which allows us to express the cost of the hammer as x + $30.

Understanding the Total Cost: With the total cost of the hammer and the nail given as $31, we formulate an equation equating the sum of the individual costs to the total cost.

Solving the Equation: By solving the equation systematically, we isolate the variable representing the cost of the nail, which turns out to be $1.

By following these steps and breaking down the problem logically, we arrive at the accurate cost of the nail, showcasing the importance of systematic problem-solving skills in mathematical scenarios.

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