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Social Science Clinic => Business => Topic started by: maychende on Jun 7, 2019

Title: A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an ...
Post by: maychende on Jun 7, 2019

Question 1

Solve the system graphically.
3x - 7 = y
6x -2 y = 14

Question 2

A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an orchestra seat is $60.00 and the cost of a balcony seat is $45.00. If all 400 seats are sold the theatre would collect $22 500.00. How many of each type of seat is available?
Title: A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an ...
Post by: sultansheikh on Jun 7, 2019

Answer 1

Infinitely many solutions, lines coincide.

Answer 2

Let the orchestra seat be x and the balcony seat be y.

x + y = 400
60x + 45y = 22 500

60x + 60y = 24 000
60x + 45y = 22 500
15y = 1500
y = 100

x + 100 = 400
x = 300
Title: A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an ...
Post by: maychende on Jun 7, 2019
Thank you!
Title: A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an ...
Post by: sultansheikh on Jun 7, 2019
Always glad to help...
Title: Re: A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of
Post by: Kelvin Savoie on Sep 21, 2020
Thank you
Title: Re: A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of
Post by: Greendino on Oct 2, 2022
Thank you!