38 faces
Explanation:
Amount to be earned = $100
Amount spent on supplies = $16
This is an expenses on the business
Amount charged per face = $3
Let x represent the number of faces to be painted
The total calculation:
[tex]\begin{gathered} 100=\text{ 3x -16} \\ 100+16\text{ = 3x} \\ 116\text{ = 3x} \\ \text{Divide through by 3} \\ x\text{ =}\frac{116}{3} \\ x\text{ = 38.67} \\ Since\text{ number of faces can't be decimal or fraction,} \\ we\text{ will approxi}mate\text{ to 39 faces} \end{gathered}[/tex]Note: $16 was subtracted because it was an expense and to make a profit of $100, it snould not include expenses.
Therefore, the number of faces she needs to paint to meet her $100 goal is 38 faces.
