# Tickets to a local movie were sold at $4.00 for adults and $2.50 for students. If 173 tickets were sold for a total price of $642.50, how many student tickets were sold?

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Let's denote the number of adult tickets sold as ( A ) and the number of student tickets sold as ( S ).

We know that the total number of tickets sold is 173:

( A + S = 173 ) (1)

We also know that the total revenue from the sale of tickets is $642.50:

( 4A + 2.50S = 642.50 ) (2)

Now, we can solve this system of equations. Let's first multiply equation (1) by 4 to eliminate the fractions:

( 4A + 4S = 692 ) (3)

Now, subtract equation (3) from equation (2) to eliminate ( A ):

( 4A + 2.50S - (4A + 4S) = 642.50 - 692 )

( -1.50S = -49.50 )

Divide both sides by -1.50:

( S = \frac{-49.50}{-1.50} )

( S = 33 )

Therefore, 33 student tickets were sold.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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