The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?

25 adult tickets and 75 student tickets were sold.

Step-by-step explanation:

Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:

100 x 5 = 500

550 - 500 = 50

7 - 5 = 2

50/2 = 25

100 - 25 = 75

(25 x 7) + (75 x 5) = X

175 + 375 = 550

Therefore, 25 adult tickets and 75 student tickets were sold.

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