Question

An amphitheater charged $75 per each seat in Section A, $55 for each seat in Section B, and $30 for each lawn seat. The number of seats sold in Section A and B are the same. On the first day, 10,000 tickets sold, generating $356,000 in revenue. How many lawn seats are still available?

Answer 1

To find the number of lawn seats still available, we need to determine the number of seats sold in Section A and B. Using this information, we can subtract the total number of seats sold from the total number of seats available.

Step-by-step explanation:

To find the number of lawn seats that are still available, we first need to determine the number of seats sold in Section A and B. Let's assume that the number of seats sold in each section is 'x'.

The revenue generated from selling 10,000 tickets can be expressed using the following equation:

75x + 55x + 30(10,000 - 2x) = 356,000

Simplifying the equation, we get:

130x + 30,000 - 60x = 356,000

Combining like terms, we have:

70x = 326,000

Dividing both sides of the equation by 70, we find:

x = 4,657.14

Since we can't have a fraction of a seat, we round down to the nearest whole number. Therefore, the number of seats sold in Section A and B is 4,657 each.

To find the number of lawn seats that are still available, we subtract the total number of seats sold from the total number of seats available:

15,000 - 4,657 - 4,657 = 5,686

Therefore, there are 5,686 lawn seats still available.

Answer 2

45 i hope this awnser helps