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A concert hall has 260 seats in the orchestra section and 80 seats in the balcony. The promoter wants to sell balcony seats for half the price of the orchestra seats. She wants to take in a total of $7,500 in ticket sales. Which equation can you use to find p, the price of an orchestra seat?

2 Answers

6 votes

Answer

Explanation:

A concert hall has 260 seats in the orchestra section and 80 seats in the balcony-example-1
User Abhishek Saharn
by
5.7k points
3 votes

Answer:

The equation below can be used to solve for p

260(p) + 80(p/2) = 7500

The price of the an orchestra seat is $25

Explanation:

The orchestra section = 260 seats

Balcony section = 80 seats

let the price of orchestra seats = $ p

According to the question the price of the balcony seats is half the price of the orchestra seats.

Balcony seat price = $1/2 p

The equation can be expressed as follows

The equation below can be used to solve for p

260(p) + 80(p/2) = 7500

260p + 40p = 7500

300p = 7500

p = 7500/300

p = $25

The price of the an orchestra seat is $25

User Ampati Hareesh
by
5.8k points
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