Tickets of a program at college cost $4 for general admission or $3 with Student ID. If 181 people paid to see a Performance and $628 was collected , How many of Each type of ticket were sold?

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sqdancefan sqdancefan · Answer 1 · 2024-06-29T15:30:35-04:00

Answer:

Step-by-step explanation:

You want the number of $4 general admission and $3 student tickets sold if 181 tickets resulted in revenue of $628.

It is convenient to define g as the number of general admission tickets sold. Then (181 -g) is the number of student tickets sold, and revenue is ...

4g +3(181-g) = 628

Simplifying gives ...

g + 543 = 628

g = 85 . . . . . . . . . . . subtract 543

181 -85 = 96 . . . . . . student tickets sold

There were 85 general admission and 96 student tickets sold.