max wrecked his car and needs to get it fixed as soon as possible he took his car to two different mechanics and both said they would charge the same amount of money to fix his car Bubbas Body Shop charges 25 dollars per hour of labor mikes mechanics charges 15 dollars per hour of labor plus a 75 dollar fee write the equation for this problem how many hours will it take to fix max's car solve the equation and show all your work
Let's assume that it will take x hours to fix Max's car.
According to the problem, Bubbas Body Shop charges 25 dollars per hour of labor. Therefore, the total cost of labor at Bubbas Body Shop can be calculated as:
Cost at Bubbas = 25 * x
On the other hand, Mike's Mechanics charges 15 dollars per hour of labor plus a 75 dollar fee. So, the total cost of labor at Mike's Mechanics can be calculated as:
Cost at Mike's = 15 * x + 75
Since both mechanics are charging the same amount to fix Max's car, we can set up an equation equating the costs:
25x = 15x + 75
Now, we can solve the equation:
25x = 15x + 75
-15x -15x (subtracting 15x from both sides)
10x = 75
10x/10 = 75/10 (dividing both sides by 10)
x = 7.5
Therefore, it will take 7.5 hours to fix Max's car.
Let's assume the number of hours it will take to fix Max's car is represented by "x".
According to the given information:
Bubbas Body Shop charges $25 per hour of labor.
Mikes Mechanics charges $15 per hour of labor plus a $75 fee.
For Bubbas Body Shop:
The labor cost at Bubbas Body Shop would be 25 * x dollars.
For Mikes Mechanics:
The labor cost at Mikes Mechanics would be 15 * x dollars.
Additionally, there is a fixed fee of $75.
Setting up the equation, we can equate the two labor costs:
25 * x = 15 * x + 75
Simplifying the equation:
25x = 15x + 75
Subtracting 15x from both sides:
10x = 75
Dividing both sides by 10:
x = 75 / 10
x = 7.5
Therefore, it will take 7.5 hours to fix Max's car.
To find the equation for this problem, let's denote the number of hours it will take to fix Max's car as 'x'.
The cost at Bubbas Body Shop is calculated by multiplying the hourly rate by the number of hours of labor:
Cost at Bubbas Body Shop = 25 * x
The cost at Mikes Mechanics is calculated by multiplying the hourly rate by the number of hours of labor and adding a fixed fee:
Cost at Mikes Mechanics = 15 * x + 75
Since both mechanics charge the same amount of money, we can set these two equations equal to each other:
25 * x = 15 * x + 75
Now, let's solve the equation:
25 * x = 15 * x + 75
25 * x - 15 * x = 75
10 * x = 75
x = 75 / 10
x = 7.5
Therefore, it will take Max's car approximately 7.5 hours to be fixed.
To show the work:
- First, we set up the equation by equating the cost at Bubbas Body Shop to the cost at Mikes Mechanics: 25 * x = 15 * x + 75
- Then, we simplify the equation by subtracting 15 * x from both sides: 25 * x - 15 * x = 75
- Next, we combine like terms on the left side of the equation: 10 * x = 75
- Finally, we divide both sides of the equation by 10 to solve for x: x = 75 / 10 = 7.5