# A local theater has floor seating, balcony seating, and box seating. If the theater contains 2,500 seats with 425 seats in the balcony and 215 box seats, how many seats are on the floor?

Feb 1, 2017

There are 1,860 floor seats.

#### Explanation:

The formula for the seating in a theater can be written as:

$s = b + x + f$

Where:

$s$ is the total seating, 2500 for this problem
$b$ is the number of balcony seats, 425 for this problem
$x$ is the number of box seats, 215 for this problem
$f$ is the number of floor seats, what we are solving for

Substitute and solve for $f$:

$2500 = 425 + 215 + f$

$2500 = 640 + f$

$2500 - \textcolor{red}{640} = 640 - \textcolor{red}{640} + f$

$1860 = 0 + f$

$1860 = f$

$f = 1860$