Final answer:
It will take 215 days for the smaller outdoor theater space with a capacity of 70 people to sell the same number of tickets as the larger theater with 15,000 seats, given that it sells out each day.
Step-by-step explanation:
The question asks how many days it will take for a smaller outdoor theater space that holds 70 people to sell the same number of tickets as a larger theater that sells a total of 15,000 seats. To solve this, we need to perform a division to find the number of days needed.
First, we find the total number of tickets the larger theater sells, which is 15,000 seats. Then we divide this number by the capacity of the smaller theater, which is 70 people. This calculation will give us the number of days needed for the smaller theater to match the ticket sales of the larger theater.
Dividing 15,000 by 70 gives us approximately 214.29. Since we can't have a fraction of a day, we round up to the next whole number, which means it will take 215 days for the smaller theater to sell as many tickets as the larger theater if the smaller space sells out each day.
Calculation:
- Identify total seats sold by the larger theater - 15,000 seats.
- Identify the daily capacity of the smaller outdoor space - 70 people.
- Divide the total seats by daily capacity to find the number of days: 15,000 / 70 = 214.29 days (rounded up to 215 days).