By wahab
Introduction:
This article delves into the scenario presented: Fernando has a 10 1/2 kilogram bar of jamón and aims to cut it into portions of 3/4 kilogram each. Through a step-by-step analysis, we’ll explore the problem statement, solution process, final result, and the significance of the outcome.
Table of Contents
Background of the Situation:
Imagine Fernando, perhaps a chef or a deli owner, needs to portion out a large jamón bar for sales or personal use. With specific portion sizes in mind, he embarks on the task of efficiently dividing the jamón while ensuring accuracy and minimizing waste.
Purpose of the Ham Cutting:
The primary purpose of cutting the jamón is to divide it into manageable and consistent portions suitable for consumption or sale. This ensures fair pricing, portion control, and convenience for both Fernando and his customers.
Overview of the Solution:
The solution involves a two-step process:
- Conversion: Transforming the jamón weight from kilograms (kg) to grams (g) for easier calculations due to the fractional portion size.
- Division: Calculating the number of individual portions by dividing the total jamón weight (in grams) by the desired portion size (in grams).
Problem Statement:
Fernando needs to determine how many 3/4 kilogram portions he can obtain from a 10 1/2 kilogram jamón bar. He must ensure accurate calculations while considering the unit conversions and the fractional portion size.
Description of the Ham:
The jamón is a cured ham product, known for its rich flavor and distinct texture. Fernando’s specific jamón weighs 10 kilograms with an additional 1/2 kilogram, totaling 10.5 kilograms.
Specification of Portions:
Fernando desires portions of 3/4 kilogram each. This fractional size requires careful consideration during the calculation process.
What Is Gidlers Detailed Guide
1. Objective of the Task:
The objective is to calculate the exact number of 3/4 kilogram portions that can be obtained from the 10.5 kilogram jamón bar.
Solution Process fernando corto una barra de 10 1 2 kilogramos de jamon en porciones de 3 4
1. Conversion to Grams:
- 1 kilogram = 1000 grams
- Therefore, 10.5 kilograms = 10.5 * 1000 grams = 10500 grams
2. Transforming Kilograms to Grams:
- The jamón weight is now represented in grams (10500 grams) for easier calculation with the fractional portion size.
3. Division of Total Ham Weight:
- We need to divide the total jamón weight (10500 grams) by the desired portion size (3/4 kilogram, converted to grams).
4. Calculating Portions with 3/4 Fraction:
- Directly dividing by 3/4 is mathematically challenging. Instead, we can multiply by the reciprocal of 3/4, which is 4/3.
- Number of portions = 10500 grams * (4/3 grams/portion) = 14000 grams / (4/3 grams/portion)
5. Multiplying by the Reciprocal:
- Multiplying by the reciprocal essentially “flips” the fraction, allowing for easier division.
- Number of portions = 14000 grams * (3 portions/4 grams) = 42000 grams / 4 grams
6. Conversion to Kilograms:
- We obtained the answer in grams (42000 grams). However, the final result should be in kilograms for consistency.
- Number of portions = 42000 grams / 1000 grams/kilogram = 42 kilograms
7. Transforming Portions from Grams to Kilograms:
- The final answer is 42 kilograms, representing the total number of 3/4 kilogram portions obtainable from the jamón bar.
Final Result Of fernando corto una barra de 10 1 2 kilogramos de jamon en porciones de 3 4
Fernando can obtain 42 individual portions of 3/4 kilogram each from his 10.5 kilogram jamón bar.
Presentation of the Answer:
Fernando can cut his 10.5 kilogram jamón bar into 42 portions of 3/4 kilogram each.
Interpretation of the Outcome:
The outcome indicates that Fernando can efficiently portion out his jamón, minimizing waste and ensuring consistent serving sizes. This benefits him in terms of inventory management, sales accuracy, and customer satisfaction.
Significance of the 14 Kilograms:
The additional 1/2 kilogram in the jamón bar contributes significantly to the final portion yield. Without it, Fernando would only be able to obtain 40 portions (instead of 42), highlighting the importance of considering the entire weight.
Rationale behind Fraction Multiplication:
Multiplying by the reciprocal of 3/4 (which is 4/3) essentially transforms the division problem into multiplication. This makes the calculation easier and avoids errors that might arise from directly dividing by a fraction.
Consistency in Unit Representation:
Throughout the solution process, we maintained consistency in the unit of measurement (grams). This simplifies calculations and ensures the final answer (number of portions) is presented in the desired unit (kilograms).
Conclusion:
Through a step-by-step analysis, we have determined that Fernando can cut his 10.5 kilogram jamón bar into 42 individual portions of 3/4 kilogram each. This comprehensive approach highlights the importance of unit conversion, careful manipulation of fractions, and maintaining consistency in measurements. By following these steps, Fernando can confidently portion his jamón accurately and efficiently.
FAQs about fernando corto una barra de 10 1 2 kilogramos de jamon en porciones de 3 4:
1. What would happen if Fernando started with a 10 kilogram jamón instead of 10.5?
He would get 40 portions instead of 42, as the additional 0.5 kg significantly impacts the yield.
2. Could Fernando cut the jamón into portions of a different size, like 1/2 kilogram?
Absolutely! He would just need to adjust the calculations by dividing the total weight by 0.5 kg (converted to grams) and repeating the process.
3. Is there a quicker way to calculate the portions without all the conversions?
While possible, directly dividing by 3/4 can be error-prone. The conversion and reciprocal method ensure accuracy and clarity.
4. What if Fernando wanted to sell the portions at a specific price per kilogram?
He can easily calculate the price per portion by dividing the desired price per kilogram by 4/3 (since each portion is 3/4 kg).
5. Can this approach be used for other types of food besides jamón?
Definitely! As long as you know the total weight and desired portion size (in any unit), you can adapt the same principles for various food items.
6. What if Fernando only needs a specific number of portions, say 35? Can he calculate the necessary jamón weight?
Yes! He can work backwards by multiplying the desired portions by the portion size (in kg) and then converting the result back to kilograms.
7. Are there any special tools Fernando might need for accurate cutting?
While not strictly necessary, a sharp slicing knife and a food scale can help ensure precise and consistent portion sizes.