Question

The cost of admission to the school soccer game is $1 for students and $3.50

for adults. On their last game, the soccer team sold $97 worth of tickets. Write an
equation that models this situation where x is the number of student tickets sold
and y is the number of adult tickets sold.

Answer 1

Answer: Let's assume that x is the number of student tickets sold and y is the number of adult tickets sold.

The cost of each student ticket is $1, so the total revenue from the student tickets is 1 times x, or x dollars. The cost of each adult ticket is $3.50, so the total revenue from the adult tickets is 3.5 times y, or 3.5y dollars. The total revenue from all the tickets sold is $97. Therefore, we can write the following equation:

Total revenue = Revenue from student tickets + Revenue from adult tickets

which can be expressed as:

$97 = $1x + $3.5y

In this equation, $1x represents the revenue from the student tickets (since each student ticket costs $1), and $3.5y represents the revenue from the adult tickets (since each adult ticket costs $3.5). The sum of these two terms gives us the total revenue from all the tickets sold.

So, the equation that models this situation is:

$1x + $3.5y = $97

Explanation: