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?
To determine the number of faces you need to paint to earn $15 in profit, you can follow these steps:
1. Calculate the total cost of painting supplies: $12
2. Determine the profit per face painted: $3 (charged per person to paint faces)
3. Calculate the number of faces needed to cover the cost of supplies: $12 / $3 = 4 faces
4. Add the faces needed to cover the cost of supplies to the desired profit: 4 faces + $15 = 19 faces
Therefore, you will need to paint 19 faces to earn a $15 profit.
To find out how many faces you need to paint to earn $15 in profit, we can use algebra to set up an equation.
Let's represent the number of faces you need to paint as 'x'.
Based on the given information, you charge $3 per person to paint faces. So, the total revenue you would earn from painting 'x' faces can be calculated as 3x.
You bought painting supplies for $12, which is an expense. So, your total expenses can be written as $12.
To calculate the profit, we subtract the total expenses from the total revenue:
Profit = Total Revenue - Total Expenses
Profit = 3x - $12
We want to find the number of faces that will yield a profit of $15. So, we can set up the equation:
Profit = $15
3x - $12 = $15
Now, we solve the equation for 'x':
3x - $12 = $15
3x = $15 + $12
3x = $27
x = $27 / 3
x = 9
Therefore, you will need to paint 9 faces to earn a profit of $15.
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.