- Define the total number of bracelets as the sum of completed and remaining bracelets: \(56 = 28 + b\).
- Solve for the unknown \(b\) by subtracting 28 from the total: \(56 - 28 = 28\).
- Identify the correct option from the given list, which is \(56 = b + 28; b = 28\).
- Final answer: \(\boxed{56 = b + 28; b = 28}\).
Explanation
- Analyzing the problem and setting up the equation
The problem asks us to determine how many more bracelets Shantreal can make using a jewelry-making kit. We are given the following information: the total number of bracelets the kit can produce is \(56\), and she has already completed \(28\) bracelets. Let \(b\) represent the number of additional bracelets that Shantreal can still make. The total number of bracelets she can make is the sum of the bracelets she has already finished and the additional ones she can create. Therefore, the relationship is expressed as:
\[56 = 28 + b\]
- Solving the equation for \(b\)
To find the value of \(b\), we need to isolate it in our equation. We start with:
\[56 = 28 + b\]
To solve for \(b\), subtract \(28\) from both sides of the equation:
\[56 - 28 = b\]
\[28 = b\]
Thus, Shantreal can make \(28\) more bracelets.
- Selecting the correct option
Comparing our derived equation and result with the provided options:
- \(56 = \frac{b}{28}; b = 1,568\) is incorrect.
- \(56 = 28b; b = 2\) is incorrect.
- \(56 = b - 28; b = 84\) is incorrect.
- \(56 = b + 28; b = 28\) is the correct option.
Therefore, the correct equation is \(56 = b + 28\), and she can make \(28\) more bracelets. The correct choice is the last one.
Examples
This type of problem helps in resource management and project planning. For example, if you are planning to bake a set of cookies and have already baked some, you can use a simple equation to determine how many more you need to bake to reach your goal. Understanding these relationships ensures that you efficiently use your materials and time to complete tasks.