Question

In a portion of turkey that is \(100 \mathrm{~g}\) (grams), there are \(23 \mathrm{~g}\) of protein and \(4 \mathrm{~g}\) of fat. What percentage of the portion is protein? What percentage is fat?

Short answer

The turkey contains 23% protein and 4% fat.

Step-by-step solution

Understand the Problem

We have a portion of turkey weighing 100 grams. Out of this, 23 grams consists of protein and 4 grams consists of fat. We need to find what percentage of the total portion is made up of protein and what percentage is made up of fat.

Calculate the Percentage of Protein

To find the percentage of the portion that is protein, use the formula for percentage: \[ \text{Percentage of Protein} = \left( \frac{\text{Grams of Protein}}{\text{Total Grams}} \right) \times 100 \%\]Substitute the given values:\[ \text{Percentage of Protein} = \left( \frac{23}{100} \right) \times 100 \% = 23\% \]

Calculate the Percentage of Fat

Similarly, to find the percentage of the portion that is fat, use the formula again:\[ \text{Percentage of Fat} = \left( \frac{\text{Grams of Fat}}{\text{Total Grams}} \right) \times 100 \%\]Substitute the given values:\[ \text{Percentage of Fat} = \left( \frac{4}{100} \right) \times 100 \% = 4\% \]

Key concepts

Understanding Nutritional Content Through Simple Calculations

Understanding nutritional content helps you make informed dietary choices. In our example, a simple turkey portion is analyzed to see what part is constituted by protein and fat. Knowing the nutritional content of foods helps with planning balanced meals. When we're aware of what constitutes our food,

• We can ensure we're getting enough nutrients like protein for muscle building and repair.
• We can also keep track of fat intake, which is helpful for maintaining a healthy diet.

By calculating the percentage of these components, as shown in our example, it becomes easy to compare different foods and choose those that best fit your nutritional needs.

Applying Mathematical Problem-Solving Techniques

To address the problem of determining percentages, one must follow structured mathematical problem-solving techniques. This involves a few key steps:

• Identifying the Problem: Recognize what you need to find. In this case, it is the percentage of protein and fat in a turkey portion.
• Planning the Approach: Use known mathematical formulas to solve the problem, such as the percentage formula.
• Executing Calculations: Perform the necessary calculations step-by-step, ensuring accuracy and clarity in your workings.
• Reviewing the Results: Always reevaluate your answer to check if it makes sense in the context. For instance, your percentages should always add up to less than or equal to 100% for a single portion.

By methodically problem-solving, students can address similar challenges in other areas of math and everyday calculations.

Mastering Basic Arithmetic Concepts

Basic arithmetic forms the foundation of most mathematical problem-solving processes. The exercise uses basic arithmetic concepts like division and multiplication, essential skills in determining percentages. Here's how these concepts work here:

• Division: Used to find how much of the total weight is one component (either protein or fat). For example, dividing the grams of protein or fat by the total grams gives us a fraction of the whole.
• Multiplication: Once we have the fractional part, multiplying by 100 converts the fraction to a percentage, making it easy to understand and apply.

Understanding these basic concepts helps demystify more complex calculations. It paves the way for handling everyday math as well as more advanced mathematics with confidence.