Amelia needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged her $100 for parts. The total was $237.50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Let xx be the cost of the labor per hour.
The technician worked for 2.5 hours, so the cost of labor is 2.5x dollars.
The total cost, including the cost of parts, is $237.50.
Thus, the equation to determine xx is: 2.5x + 100 = 237.50. To solve this equation, we can subtract 100 from both sides and then divide both sides by 2.5:
2.5x + 100 - 100 = 237.50 - 100,
2.5x = 137.50,
x = 137.50 / 2.5,
x = $<<55=55>>55.
Therefore, the cost of the labor per hour is $55. Answer: \boxed{55}.
write an eqaution using algebra
Let's say xx represents the cost of the labor per hour.
Given that the technician worked for 2.5 hours and the total cost, including parts, was $237.50, we can write the equation as:
2.5x + 100 = 237.50
where 2.5x represents the cost of labor (2.5 hours multiplied by xx cost per hour) and 100 represents the cost of parts.
To solve the equation, we can rearrange it:
2.5x = 237.50 - 100
2.5x = 137.50
Finally, we can find the value of xx by dividing both sides of the equation by 2.5:
x = 137.50 / 2.5
Therefore, the cost of the labor per hour is $55. Answer: \boxed{55}.