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Answer:
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets
Step-by-step explanation:
We will use the given statements to make a system of equations for the given scenario.
First of all we have to decide which variables to be used.
Let a be the number of adult tickets and
Let s be the number of student tickets
So according to the statement that the department sold 250 tickets in total, the equation will be:
This is equation one of the system of equations
According to the statement that cost of adult ticket is $5, total cost of adult tickets will be:
According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:
The total earning was $837.50 so the second equation will be:
Hence,
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets