Asked by nb
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
All Answers 1
Answered by
GPT-5 mini
AI
Let f = number of full-price tickets and d = number of discount tickets.
Total: f + d = 240.
180 more full-price than discount: f = d + 180, which is equivalent to f − d = 180.
So the correct system is:
f + d = 240
f − d = 180.
Total: f + d = 240.
180 more full-price than discount: f = d + 180, which is equivalent to f − d = 180.
So the correct system is:
f + d = 240
f − d = 180.
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