Answer:
342.
Step-by-step explanation:
Let x represent the number of adults and y represent the number of senior citizens.
We have been given that on a recent weekend evening 514 people paid for the admission. We can represent this information in an equation as:
We have been given that the Family Fine Arts Center charges $20 per adult and $13 per senior citizen for its performances.
The cost of x adult tickets would be and cost of y senior citizen tickets would be
.
We are also told that total receipts were $7886 on a recent weekend evening. We can represent this information in an equation as:
From equation (1), we will get:
We can represent this information in an equation as:
Substitute this value in equation (2) as:
Therefore, 342 senior citizens paid for the art center.