To find the number of faces that need to be painted to earn a $15 profit, we need to determine the total cost to paint that number of faces and subtract it from the total earnings.
Let's first calculate the total earnings. Each face is charged $3, so the earnings per face is $3. Since we want to earn a $15 profit, the total earnings needed is $12 (painting supply cost) + $15 (profit) = $27.
Next, let's calculate the total cost to paint a certain number of faces. The cost to paint one face is $12 (painting supply cost). Therefore, the cost to paint x faces is x * $12.
Since we want to earn $15 in profit, the total cost should be less than $27. So we have the inequality:
x * $12 < $27
To find the number of faces that satisfy this inequality, we need to divide both sides of the inequality by $12:
x < $27/$12
Simplifying:
x < 2.25
Since the number of faces must be a whole number, we take the largest whole number that is less than 2.25, which is 2.
Therefore, you will need to paint 2 faces to earn a $15 profit.
You buy painting supplies for $12
, and you charge $3
per person to paint faces. How many faces will you need to paint to earn $15
in profit?
1 answer