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?
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.