Question

If the walls in a room are $955$ square feet in area, and a gallon of paint covers $15$ square yards, how many gallons of paint are needed for the room?

($3$ $feet$ $=$$1$$yard$)

Answer 1

Finding the quantity of paint needed in gallon:

Step-1: Calculating the area of the wall in yards

Given that the walls are $955$ square feet in area and $3$ $feet$ $=$$1$$yard$.

So, $1$ square yards $=3^2=9$ square feet.

Therefore, the area of the walls will be $=\frac{955}{9}$ square yards.

Step-2: Finding the total quantity of paint

Given that a gallon of paint covers $15$ square yards and the walls are total $\frac{955}{9}$ square feet in area.

Hence, the quantity of the paint needed will be

$$\begin{gathered} \frac{{\displaystyle \frac{955}{9}}}{15} \\ =\frac{955}{135} \\ =\frac{191}{27} \\ =7\frac{2}{27}\text{gallons} \end{gathered}$$

Therefore, total $7\frac{2}{27}$ gallons of paint is needed for the room.