Answer:
To solve this problem, let's represent the number of adult tickets sold as "A" and the number of student tickets sold as "S".
From the given information, we know that a total of 510 tickets were sold. So we can write the equation:
A + S = 510
We are also told that there were 60 more student tickets sold than adult tickets. This can be written as:
S = A + 60
Now, we can substitute the second equation into the first equation to eliminate the variable S:
A + (A + 60) = 510
2A + 60 = 510
To solve for A, we can subtract 60 from both sides of the equation:
2A = 450
Dividing both sides by 2, we find that:
A = 225
Now, we can substitute the value of A back into the second equation to find the value of S:
S = 225 + 60
S = 285
Therefore, 225 adult tickets and 285 student tickets were sold for the school play.