Question

Dilbert recently hired an electrician to do some necessary work. On the final bill, Dilbert was charged a total of $905. $455 was listed for parts and the rest for labor. If the hourly rate for labor was $45, how many hours of labor was needed to complete the job?

(A) First write an equation you can use to answer this question. Use
x as your variable.

Answer 1

(A) 45x +455= 905

10 hours of labor

Explanation:

Start by defining the variable x:

Let x be the number of hours of labor.

Total bill= parts +labor

905= 455 +45x

(A) 45x +455= 905

_____

Solving for x:

45x +455= 905

Bring constants to the other side of the equation:

45x= 905 -455

45x= 450

x= 450 ÷45

x= 10

Since $45 is an hourly rate, the units of x we are looking at is hours.

Thus, 10 hours of labor is needed to complete the job.