Question

Olivia painted the exterior of a room with 25 quarts more paint than the amount of paint used for the interior. How many gallons did she use to paint the exterior of the room if she used 200 pints of paint in total?
(Hint: 1 quart = 2 pints; 1 gal = 8 pints)

• A. 15.1 gal
• B. 15 gal
• C. 14 gal
• D. 15.6 gal

Answer 1

The correct option is D 15.6 gal

Olivia painted the exterior of a room with 25 quarts more paint than the amount of paint used for the interior.
We know,
1 quart = 2 pints
$\Rightarrow 25\text{quarts}=2\times 25=50pints$

Let the amount of paint used to paint the interior of the room be $x$ pints.
Amount of paint used to paint the exterior of the room $=(50+x$) pints

Total amount of paint used
= (amount of paint used to paint the interior of the room) + (amount of paint used to paint the exterior of the room)
$\Rightarrow 200=x+(50+x)$ (Total amount of paint used = 200 pints)
$\Rightarrow 200=2x+50$
$\Rightarrow 2x=200-50$
$\Rightarrow x=\frac{150}{2}$
$\Rightarrow x=75pints$

Substitute for $x$ to find the amount of paint used to paint the exterior of the room.
$(50+x)=50+75$
= 125 pints

We know,
1 gal = 8 pints
1 pint = $\frac{1}{8}$ gal
$\Rightarrow 125pints=\frac{125}{8}$
= 15.6 gal

Hence, 15.6 gal of paint is used to paint the exterior of the room.