Question

Olivia painted the exterior of a room with 25 quarts more paint than the interior. How many gallons did she use to paint the exterior of the room if she used 200 pints of paint in total?

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

Answer 1

The correct option is B 15.6 gallon

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

Let the amount of paint used to paint the interior of a room be $x$
$\therefore \text{Amount of paint used to paint the exterior of a room = (50 + x) pint}$

Total amount of paint used
= {Amount of paint used to paint the interior of a room} + { Amount of paint used to paint the exterior of a room}

$200=x+(50+x)(\because \text{Total paint used = 200 pints})$
$200=2x+50$

$2x=200-50$

$2x=150$

$x=\frac{150}{2}=75\text{pint}$

Substitute for x to find the amount of paint used to paint the exterior of a room
$=(50+x)\text{pint}=50+75\text{pint}=125\text{pint}$

We know,
$\text{1 gallon = 8 pint}$

$\therefore \text{1 pint}=\frac{1}{8}\text{gallon}$

$\text{125 pint}=\frac{1\times 125}{8}=15.6\text{gallon}$

Hence 15.6 gallon of paint is used to paint exterior of the room.