Aconcert 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?

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

Step-by-step 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

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.