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lesson pretestMultiple Choice

Pretest

Question 1 • Mathematics III

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?

Answer
A
f plus d is equal to 240 f is equal to 180
B
f minus d is equal to 240 f is equal to 180 d
C
f minus d is equal to 240 f is equal to 180 plus d
D
f plus d is equal to 240 f minus d is equal to 180

Explanation

Let f represent full-price tickets and d represent discount tickets. Since 240 tickets were sold altogether, f + d = 240. “180 more full-price tickets than discount tickets” means f − d = 180, so the correct system is the one in choice D.

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