Question

A movie theater has a total of 347 seats. For a special Saturday night preview, they reserve 36 seats to give away to their VIP guests at no charge. If x represents the number of tickets they can sell for the preview, then x can be found by solving the equation x + 36 = 347.

A.) Solve the equation for x.

If tickets for the preview are $11.00 each, what is the maximum amount of money they can make from ticket sales?

B)The max they can make from ticket sales is $ ???

Answer 1

Given

a) x + 36 = 347

b) revenue = $11x

Find

a) x

b) revenue

Solution

a) subtract 36 from both sides of the equation

... x + 36 - 36 = 347 - 36

... x + 0 = 311

... x = 311

b) substitute the value for x and do the arithmetic

... revenue = $11·311

... revenue = $3421