A repairman estimated the cost of replacing a part in Mrs. James' computer would be at most $225. The estimate included $35 for the part, a $40 service charge, and $30 per hour for labor. What is the maximum number of hours the repairman estimated for the job?

Answer 1

Let x represent the maximum number of hours the repairman estimated for the job.

The total cost of the job can be expressed as:

Total Cost = Cost of Part + Service Charge + Labor Cost
Total Cost = $35 + $40 + $30x

Since the total cost should be at most $225, we can write the inequality:

$35 + $40 + $30x ≤ $225

Combine like terms:

$75 + $30x ≤ $225

Subtract $75 from both sides:

$30x ≤ $150

Divide by $30:

x ≤ 5

Therefore, the repairman estimated at most 5 hours for the job.