Explanation
Correct answer: A.
Choice A is correct. The airline sold two types of tickets for this flight: tickets at $ each and the remaining tickets at $ each. Because the airline sold a total of tickets for this flight, it must be true that . The amount, in dollars, collected from the sale of tickets at $ each is represented by . The amount, in dollars, collected from the sale of the remaining tickets at $ each is represented by . It is given that a total of $ was collected from the sale of all tickets. Therefore, it must also be true that .
Desmos solution:
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Why the other choices are wrong
Choice B
Choice B is incorrect. The total number of tickets sold is represented correctly as . The total amount, in dollars, collected from the sale of the tickets at $ each and the remaining tickets at $ has been correctly represented as . However, according to the information given, this total should be equal to , not dollars.
Choice C
Choice C is incorrect. The total number of tickets sold has been correctly represented as . However, according to the information given, this total should be equal to , not , as shown in choice C. The total amount, in dollars, collected from the sale of the tickets at $ each and the remaining tickets at $ has been correctly represented as . However, according to the information given, this total should be equal to , not dollars.
Choice D
Choice D is incorrect. The two equations given in choice D have no meaning in this context.