Question

North High School is putting on their spring musical. They spent $1750 in production costs. Their auditorium can seat up to 220 people in the audience. They plan to sell student tickets for $5 each and adult tickets for $10 each. The school wants the show to make a profit. How much money do they need to earn in ticket sales to break even (cover production costs)?

A) $2,200
B) $1,750
C) $4,400
D) $875

Answer 1

North High School needs to earn Option B) $1750 in ticket sales to break even and cover the production costs.

Step-by-step explanation:

To break even and cover the production costs of $1750, North High School needs to earn ticket sales equal to the production costs. Let's calculate the number of student tickets and adult tickets they need to sell:

Total Ticket Sales = (Number of Student Tickets x Price per Student Ticket) + (Number of Adult Tickets x Price per Adult Ticket)

Total Ticket Sales = (Number of Student Tickets x $5) + (Number of Adult Tickets x $10)

Since the sales need to equal $1750, they can set up an equation:

$1750 = (Number of Student Tickets x $5) + (Number of Adult Tickets x $10)

Using basic algebra, we can solve for the number of tickets they need to sell:

Number of Student Tickets + Number of Adult Tickets = 220

Since we are looking for the total ticket sales, we can multiply the number of student tickets by $5 and the number of adult tickets by $10:

5(Number of Student Tickets) + 10(Number of Adult Tickets) = $1750

By solving these equations simultaneously, we find that the number of student tickets sold should be 100 and the number of adult tickets sold should be 120.

Therefore, North High School needs to earn $1750 in ticket sales to break even and cover the production costs.