.
The difference of purchases is 5 student tickets (5 = 7-2) and (63-38) = 25 dollars.
Hence, the price of one student ticket is 25/5 = 5 dollars.
Then the price of one adult tickets is
= 4 dollars.
Solved // Mentally.
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Post-solution notices.
1. This problem is a typical example when a MENTAL solution is expected (and required, by DEFAULT).
2. The answer seems to be strange, because usually student tickets are cheaper than adult tickets.
But here I can nothing to do, because the input data of the problem LEADS with NECESSITY to this answer.