Evelyn Bought 8.4 Gallons Of Gas For $\$23.94$. Which Equation Can Be Used To Determine The Price Of Each Gallon Of Gas?A. $8.4x = 23.94$ B. $\frac{x}{8.4} = 23.94$ C. $23.94x = 8.4$ D. $\frac{x}{23.94} =
Understanding the Problem
Evelyn bought 8.4 gallons of gas for $23.94. To determine the price of each gallon of gas, we need to set up an equation that relates the total cost of gas to the number of gallons purchased.
Setting Up the Equation
Let's denote the price of each gallon of gas as x. Since Evelyn bought 8.4 gallons of gas for $23.94, we can set up the following equation:
8.4x = 23.94
This equation states that the total cost of gas (23.94) is equal to the number of gallons purchased (8.4) multiplied by the price of each gallon (x).
Analyzing the Options
Now, let's analyze the options provided:
A. 8.4x = 23.94
This is the correct equation, as we have already established.
B. x/8.4 = 23.94
This equation is incorrect because it implies that the price of each gallon (x) is equal to the total cost of gas (23.94) divided by the number of gallons purchased (8.4).
C. 23.94x = 8.4
This equation is also incorrect because it implies that the total cost of gas (23.94) multiplied by the price of each gallon (x) is equal to the number of gallons purchased (8.4).
D. x/23.94 = 8.4
This equation is incorrect because it implies that the price of each gallon (x) is equal to the number of gallons purchased (8.4) divided by the total cost of gas (23.94).
Conclusion
In conclusion, the correct equation to determine the price of each gallon of gas is:
8.4x = 23.94
This equation can be solved for x by dividing both sides by 8.4, resulting in:
x = 23.94/8.4 x = 2.86
Therefore, the price of each gallon of gas is $2.86.
Solving for x
To solve for x, we can divide both sides of the equation by 8.4:
x = 23.94/8.4 x = 2.86
This means that the price of each gallon of gas is $2.86.
Real-World Applications
Understanding how to set up and solve equations like this one is essential in many real-world applications, such as:
- Calculating the cost of goods sold in a business
- Determining the price of a product based on its cost and markup
- Analyzing financial data to make informed business decisions
Practice Problems
Try solving the following practice problems to reinforce your understanding of how to set up and solve equations like this one:
- If a store sells 12 boxes of cereal for $24.00, what is the price of each box of cereal?
- If a car travels 250 miles on 10 gallons of gas, what is the price of each gallon of gas?
- If a company sells 500 units of a product for $15,000, what is the price of each unit of the product?
Conclusion
Q: What is the formula to calculate the price of each gallon of gas?
A: The formula to calculate the price of each gallon of gas is:
8.4x = 23.94
Where x is the price of each gallon of gas.
Q: How do I solve for x in the equation 8.4x = 23.94?
A: To solve for x, you can divide both sides of the equation by 8.4:
x = 23.94/8.4 x = 2.86
Q: What if I want to find the price of each gallon of gas if I buy 10 gallons for $25.00?
A: To find the price of each gallon of gas, you can set up the equation:
10x = 25.00
Then, solve for x by dividing both sides of the equation by 10:
x = 25.00/10 x = 2.50
Q: How do I calculate the total cost of gas if I buy 15 gallons for $30.00?
A: To calculate the total cost of gas, you can multiply the number of gallons purchased by the price of each gallon:
Total cost = Number of gallons x Price per gallon Total cost = 15 x 2.00 Total cost = 30.00
Q: What if I want to find the price of each gallon of gas if I buy 20 gallons for $40.00?
A: To find the price of each gallon of gas, you can set up the equation:
20x = 40.00
Then, solve for x by dividing both sides of the equation by 20:
x = 40.00/20 x = 2.00
Q: Can I use this formula to calculate the price of other products?
A: Yes, you can use this formula to calculate the price of other products as long as you know the total cost and the number of units purchased.
Q: What if I want to find the total cost of gas if I buy 25 gallons for $50.00?
A: To find the total cost of gas, you can multiply the number of gallons purchased by the price of each gallon:
Total cost = Number of gallons x Price per gallon Total cost = 25 x 2.00 Total cost = 50.00
Q: Can I use this formula to calculate the price of gas if I buy it in different units, such as liters or ounces?
A: Yes, you can use this formula to calculate the price of gas if you buy it in different units, such as liters or ounces. However, you will need to convert the units to gallons or the equivalent unit before using the formula.
Q: What if I want to find the price of each gallon of gas if I buy it in a different currency, such as euros or pounds?
A: To find the price of each gallon of gas in a different currency, you will need to convert the currency to US dollars or the equivalent currency before using the formula.
Conclusion
In conclusion, the formula to calculate the price of each gallon of gas is:
8.4x = 23.94
Where x is the price of each gallon of gas. You can use this formula to calculate the price of gas if you buy it in different units, such as liters or ounces, or in different currencies, such as euros or pounds.