To paint interior​ walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent​ job, the paint cost ​$100 and the total bill was ​$475.
The person must have painted ____ ft^2.

Respuesta :

Answer: [tex]750\ ft^2[/tex]

Step-by-step explanation:

Given

Rate of painting 50¢ per square foot

Cost of paint is $100

If the total bill is $475

We can write,

[tex]\Rightarrow 475=100+0.5\times x\quad [x=\text{area in square foot}]\\\Rightarrow 375=0.5x\\\Rightarrow x=750\ ft^2[/tex]

Thus, [tex]750\ ft^2[/tex] must be painted.