Problema Solution

At the theater, orchestra seats cost $20.00 more than balcony seats. If a company buys 25 orchestra seats and 30 balcony seats, the total cost would be $1875.00. What would be the price for one orchestra seat and one balcony seat? Solve using substitution method.

Answer provided by our tutors

Let

x = the cost for one balcony seat

y = the cost for one orchestra seat

y = x + 20

25y + 30x = 1875

........

click here to see the system of equations solved for x and y

........

x = $25

y = $45

The price for balcony seat is $25.

The price for orchestra seat is $45.