Mike was a lawyer that charged $150 an hour as well as an up front cost of $375. He recently billed a client for $6,750. How many hours of work did Mike work?

42 and a half hours

Step-by-step explanation:

subtract the total amount billed the client from the upfront cost of 375

= 6750 - 375

=$ 6,375

Next, divide the balance cost by hourly charge to get the number of hours

Given that hourly charge is $150

Number of hours charged = 6375/150

=42.5 = 42 1/2 hours

I hope this is clear, please mark as brainliest answer.

42.5 hours or 42h30mins

Step-by-step explanation:

Given from the question;

Charges per hour =$150

Upfront =$375

Total bill = $6,750

Let Total bill be T, Charges be C and Upfront U.

Therefore, total bill equals;

T = C + U

Substituting the given variables, we have;

6750 = C + 375

Making C the subject formula;

C = 6750-375

C = $6375

Hence, to find the number of hours worked, we divide charges C by $150

Hours, H = 6375÷150

H = 42.5hours

The number of hours worked is 42 hours and 30 minutes.

42h30mins.