A cleaning company charges $125 to visit a home and $40 to clean each room. If the total bill was $365, how many rooms were cleaned?
x=6
(365 - 125) / 40 = ?
Let's denote the number of rooms cleaned as "x".
The cost to visit a home is $125, and the cost to clean each room is $40.
Therefore, the total bill can be expressed as follows:
Total bill = Cost to visit a home + (Cost to clean each room * Number of rooms cleaned)
Using the given information, we can set up the equation:
$365 = $125 + ($40 * x)
To solve for x, we need to isolate it. We can do this by rearranging the equation:
$365 - $125 = $40 * x
$240 = $40 * x
Now, divide both sides of the equation by $40 to solve for x:
$240 / $40 = x
6 = x
Therefore, 6 rooms were cleaned.
To determine the number of rooms that were cleaned, we can follow these steps:
Step 1: Start by subtracting the base fee for visiting a home from the total bill:
Total bill - Home visit fee = $365 - $125 = $240.
Step 2: Next, divide the remaining amount by the room cleaning fee to find out how many rooms were cleaned:
Number of rooms cleaned = Remaining amount ÷ Room cleaning fee = $240 ÷ $40 = 6 rooms.
Therefore, 6 rooms were cleaned by the cleaning company.