The Hernandez Family Is Splitting 7 Liters Of Gasoline Equally Between Their 4 Cars.How Many Liters Of Gasoline Should Each Car Get?Choose 1 Answer:A. $1 \frac{1}{4}$ Liters Of GasolineB. $1 \frac{2}{4}$ Liters Of GasolineC.
Introduction
The Hernandez family is facing a common problem that many of us can relate to - dividing a shared resource among multiple individuals. In this case, they have 7 liters of gasoline that they want to split equally among their 4 cars. This problem requires us to apply basic mathematical concepts to find the solution. In this article, we will explore the steps involved in solving this problem and arrive at the correct answer.
Understanding the Problem
To solve this problem, we need to understand the concept of division and how it applies to sharing a resource among multiple individuals. The Hernandez family has 7 liters of gasoline that they want to divide equally among their 4 cars. This means that each car should receive an equal share of the gasoline.
Step 1: Divide the Total Amount of Gasoline by the Number of Cars
To find out how many liters of gasoline each car should get, we need to divide the total amount of gasoline (7 liters) by the number of cars (4). This can be represented mathematically as:
7 liters ÷ 4 cars = ?
Step 2: Perform the Division
To perform the division, we can use long division or a calculator. Let's use long division to find the quotient.
7 ÷ 4 = 1 with a remainder of 3
This means that 7 liters divided by 4 cars is equal to 1 with a remainder of 3. In other words, each car would get 1 liter of gasoline, and there would be 3 liters left over.
Step 3: Convert the Mixed Number to an Improper Fraction
Since we have a remainder of 3, we can convert the mixed number (1 with a remainder of 3) to an improper fraction. To do this, we need to multiply the whole number part (1) by the denominator (4) and add the remainder (3).
1 × 4 = 4 4 + 3 = 7
So, the improper fraction is 7/4.
Step 4: Simplify the Improper Fraction
To simplify the improper fraction, we can divide the numerator (7) by the denominator (4).
7 ÷ 4 = 1 with a remainder of 3
This means that the improper fraction 7/4 can be simplified to 1 3/4.
Conclusion
In conclusion, the Hernandez family should divide the 7 liters of gasoline equally among their 4 cars. Each car should get 1 3/4 liters of gasoline.
Answer
The correct answer is:
A. $1 \frac{3}{4}$ liters of gasoline
Discussion
This problem requires us to apply basic mathematical concepts such as division and conversion of mixed numbers to improper fractions. It also requires us to simplify the improper fraction to arrive at the correct answer. This problem is a great example of how math can be applied to real-life situations, and it highlights the importance of understanding mathematical concepts in order to solve problems effectively.
Real-World Applications
This problem has real-world applications in many areas, such as:
- Business: When dividing a shared resource among multiple departments or employees, businesses need to apply mathematical concepts to ensure that each department or employee receives an equal share.
- Engineering: Engineers need to apply mathematical concepts to design and optimize systems, such as pipelines or electrical circuits, that involve sharing resources among multiple components.
- Science: Scientists need to apply mathematical concepts to analyze and interpret data, such as the distribution of a resource among multiple samples.
Conclusion
Introduction
In our previous article, we explored the problem of the Hernandez family splitting 7 liters of gasoline equally among their 4 cars. We arrived at the correct answer, which is 1 3/4 liters of gasoline per car. In this article, we will answer some frequently asked questions related to this problem.
Q: What is the total amount of gasoline available?
A: The total amount of gasoline available is 7 liters.
Q: How many cars are there in the Hernandez family?
A: There are 4 cars in the Hernandez family.
Q: What is the correct answer to the problem?
A: The correct answer is 1 3/4 liters of gasoline per car.
Q: How did you arrive at the correct answer?
A: We arrived at the correct answer by dividing the total amount of gasoline (7 liters) by the number of cars (4). This can be represented mathematically as:
7 liters ÷ 4 cars = ?
We then performed the division using long division or a calculator and arrived at the quotient of 1 with a remainder of 3. This means that each car would get 1 liter of gasoline, and there would be 3 liters left over. We then converted the mixed number (1 with a remainder of 3) to an improper fraction, which is 7/4. Finally, we simplified the improper fraction to arrive at the correct answer of 1 3/4 liters of gasoline per car.
Q: What is the importance of understanding mathematical concepts in solving problems?
A: Understanding mathematical concepts is crucial in solving problems effectively. In this case, we applied the concept of division and conversion of mixed numbers to improper fractions to arrive at the correct answer. This problem highlights the importance of understanding mathematical concepts in order to solve problems effectively and has real-world applications in many areas.
Q: What are some real-world applications of this problem?
A: This problem has real-world applications in many areas, such as:
- Business: When dividing a shared resource among multiple departments or employees, businesses need to apply mathematical concepts to ensure that each department or employee receives an equal share.
- Engineering: Engineers need to apply mathematical concepts to design and optimize systems, such as pipelines or electrical circuits, that involve sharing resources among multiple components.
- Science: Scientists need to apply mathematical concepts to analyze and interpret data, such as the distribution of a resource among multiple samples.
Q: How can I apply this problem to my own life?
A: You can apply this problem to your own life by thinking about situations where you need to divide a shared resource among multiple individuals or groups. For example, if you are planning a party and need to divide the food among your guests, you can use the concept of division and conversion of mixed numbers to improper fractions to ensure that each guest receives an equal share.
Conclusion
In conclusion, the Hernandez family's gasoline distribution problem is a great example of how math can be applied to real-life situations. By understanding the concept of division and conversion of mixed numbers to improper fractions, we can arrive at the correct answer and solve problems effectively. This problem highlights the importance of understanding mathematical concepts in order to solve problems effectively and has real-world applications in many areas.
Frequently Asked Questions
- Q: What is the total amount of gasoline available? A: The total amount of gasoline available is 7 liters.
- Q: How many cars are there in the Hernandez family? A: There are 4 cars in the Hernandez family.
- Q: What is the correct answer to the problem? A: The correct answer is 1 3/4 liters of gasoline per car.
- Q: How did you arrive at the correct answer? A: We arrived at the correct answer by dividing the total amount of gasoline (7 liters) by the number of cars (4).
- Q: What is the importance of understanding mathematical concepts in solving problems? A: Understanding mathematical concepts is crucial in solving problems effectively.
- Q: What are some real-world applications of this problem? A: This problem has real-world applications in many areas, such as business, engineering, and science.
- Q: How can I apply this problem to my own life? A: You can apply this problem to your own life by thinking about situations where you need to divide a shared resource among multiple individuals or groups.