Answer :
The number of tickets cannot be negative, we can conclude that there were 0 adults and 513 seniors who paid for tickets on that day. The total receipts from the movie theater were $51,370. On this day, 391 people paid for admission.
We need to find out how many adults and seniors paid for tickets.
Let's assume the number of adults who paid for tickets is "x" and the number of seniors is "y".
According to the given information, each adult ticket costs $58 and each senior ticket costs $2.
So, the total amount collected from adult tickets can be calculated as 58x, and the total amount collected from senior tickets can be calculated as 2y.
We know that the total receipts were $51,370, so we can write the equation:
58x + 2y = 51,370.
We also know that the total number of people who paid for admission was 391, so we can write another equation:
x + y = 391.
Now, we can solve these two equations simultaneously to find the values of x and y.
Simplifying the second equation, we get:
x = 391 - y.
Substituting this value of x into the first equation, we have:
58(391 - y) + 2y = 51,370.
Expanding and simplifying this equation, we get:
22,678 - 56y = 51,370.
Rearranging the equation, we get:
-56y = 51,370 - 22,678,
-56y = 28,692.
Dividing both sides of the equation by -56, we find:
y = -28,692 / -56,
y = 513.
Substituting this value of y into the equation x = 391 - y, we can calculate:
x = 391 - 513,
x = -122.
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