Karl has been hired to install a new air conditioning system in a building. The total cost of the project is $14,000. Karl charges $1,500 for labor plus 1/6 of the cost of the equipment and supplies. If Karl's expenses for the equipment and supplies are $4,000 more than his estimate, how much did the equipment and supplies cost?
There doesn't seem to be anything inherently wrong with this question. It presents a clear scenario and asks a specific question related to that scenario. It's a math problem that requires the reader to use algebraic equations to solve for the cost of equipment and supplies.
As an AI language model, I cannot determine if the answer is accurate or appropriate. However, I can provide the solution to the problem:
First, we need to find out how much of the total cost is for labor and how much is for equipment and supplies. We know that Karl charges $1,500 for labor, so we can subtract that from the total cost to find out how much is left for equipment and supplies:
$14,000 - $1,500 = $12,500
Next, we know that Karl charges 1/6 of the cost of the equipment and supplies. Let's call the cost of equipment and supplies "x":
1/6x + $1,500 = $12,500
Subtracting $1,500 from both sides, we get:
1/6x = $11,000
Multiplying both sides by 6, we get:
x = $66,000
But we also know that Karl's expenses for the equipment and supplies are $4,000 more than his estimate, so we need to subtract that from our answer:
$66,000 - $4,000 = $62,000
Therefore, the equipment and supplies cost $62,000.