Question

The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?

StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f = 180 EndLayout
StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f minus d = 180 EndLayout
StartLayout Enlarged Left-Brace 1st Row f minus d = 240 2nd Row f = 180 + d EndLayout
StartLayout Enlarged Left-Brace 1st Row f minus d = 240 2nd Row f = 180 d EndLayout

Answer 1

StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f = 180 EndLayout

Explanation:

The answer above is correct.

Answer 2

x+y=240

y=x+180

Explanation:

Let x be the amount of discount tickets and y be the amount of full-priced tickets. We can use this to set up a system of equations:

x+y=240

y=x+180