The St. James Theater is one of the largest theaters in New York City, with a seating capacity of 1600. They sell two different types of tickets, pre-sale and at-the-door. This combination of seats can be represented by the equation x + y = 1600. If the theater is sold out, choose the combination below that is not a possible combination of pre-sale and at-the-door tickets.

Pre-sale: 1200, At-the-door: 400

Pre-sale: 522, At-the-door: 1078

Pre-sale: 847, At-the-door: 700

Pre-sale: 1600, At-the-door: 0

Question

The St. James Theater is one of the largest theaters in New York City, with a seating capacity of 1600. They sell two different types of tickets, pre-sale and at-the-door. This combination of seats can be represented by the equation x + y = 1600. If the theater is sold out, choose the combination below that is not a possible combination of pre-sale and at-the-door tickets. 

 Pre-sale: 1200, At-the-door: 400 

 Pre-sale: 522, At-the-door: 1078 

 Pre-sale: 847, At-the-door: 700 

 Pre-sale: 1600, At-the-door: 0

bahrom7893 · Answer

x+y=1600
plug in each to check if it's true:
1200+400=1600
522+1078=1600
847+700=1547 <- wrong

bahrom7893 · Answer

since the theater sold out, your choice is:
Pre-sale: 847, At-the-door: 700

anonymous · Answer

bahrom is exactly right.  Another way of thinking about the question is:  Which of these answers doesn't sum to 1600?  Once you translate the problem, it's easy.