The town theater received $22,540.75 by selling 435 tickets to the opening night of the play. if the full price of a ticket is $6.25 and discount tickets for students and seniors are $5.25 each how many full-price tickets were sold

I tried solving the problem and it didn't make sense until assuming that 22540.75 was a typo for 2540.75.

2540.75 = 6.25x + 5.25y

435 = x + y

x = number of adult tickets

y = number of student and senior tickets

Question is asking to find x

- - - - - - - - - - - - - - - - - -

435 = x + y

2283.75 = 5.25x + 5.25y

Elimination method:

2540.75 = 6.25x + 5.25y

-(2283.75 = 5.25x + 5.25y)

257 = x

257 full priced tickets were sold.

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what are ur choices?