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?

Answer 1

There are 1,860 floor seats.

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 - color(red)(640) = 640 - color(red)(640) + f#

#1860 = 0 + f#

#1860 = f#

#f = 1860#

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Answer 2

Eva Abramson

1,860 seats are on the floor.

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Answer 3

Ethan Adkins

The number of floor seats in the theater is 1,860.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.