Fayanii is participating in a play through her local theater group. There are 200 seats available for each showing. The matinee showing has sold tickets for 3/4 of the seats. 10 of the seats are broken and cannot be used. How many seats are still available in the theater?

Question

Group of answer choices

150 seats available

140 seats available

40 seats available

48 seats available

Answer 1

To determine how many seats are still available in the theater, we can follow these steps:

1. Calculate the total number of seats sold for the matinee showing:

   • 3/4 of the 200 total seats are sold: \[ \frac{3}{4} \times 200 = 150 \text{ seats sold} \]

2. Find the total number of usable seats:

   • There are 200 seats total, but 10 are broken: \[ 200 - 10 = 190 \text{ usable seats} \]

3. Calculate the number of available seats:

   • Subtract the number of sold seats from the usable seats: \[ 190 - 150 = 40 \text{ seats available} \]

Therefore, the number of seats still available in the theater is 40 seats available.