A car uses 
4
9
9
4
​
  of a gallon of fuel to travel 
5
6
6
5
​
  of a mile. How many gallons of fuel will the car use to travel 12 miles?

We are given that a car uses \( \frac{4994}{5665} \) of a gallon of fuel to travel \( \frac{5665}{5665} \) of a mile (1 mile).

Now, we need to calculate how many gallons of fuel the car will use to travel 12 miles.

To solve this, we can set up a proportion:

\[
\frac{4994}{5665} \text{ gallons per mile} = x \text{ gallons per 12 miles}
\]

Now, multiply both sides by 12 to find \( x \):

\[
x = 12 \times \frac{4994}{5665}
\]

Let's calculate this.The car will use approximately 10.58 gallons of fuel to travel 12 miles.

Would you like more details on how this was calculated or have any further questions? 

Here are some related questions you might find interesting:
1. How would the fuel consumption change if the car traveled 24 miles?
2. If the fuel consumption per mile improved, how would you calculate the new fuel usage?
3. How can you calculate the fuel efficiency in miles per gallon based on the given data?
4. What is the relationship between fuel consumption and distance traveled?
5. How would you calculate the total cost of the fuel if the price per gallon is given?

**Tip:** Always double-check the units of your measurements to ensure consistency in your calculations.

A car uses 4994/5665 of a gallon of fuel to travel 5665/5665 of a mile. How many gallons of fuel will the car use to travel 12 miles?

Calculate how many gallons of fuel a car will use to travel 12 miles, given the fuel consumption rate of 4994/5665 gallons per mile. This problem involves key concepts of proportions and multiplication of fractions, suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation