Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

The number of adults tickets sold = 168.

Step-by-step explanation:

The cost of 1 adult ticket = $10.50

The cost of 1 student ticket = $3.75

The total sales from the ticket = $2071.50

Now, here let us assume

The number of adult tickets sold = a

The number of student tickets sold = b

So, the equation is given as:

10.50 a + 3.75 b = 2071.50

Now, its given the number of students = 82

⇒ b = 82

Putting the value of b in the above equation, w e get:

10.50 a + 3.75 (82) = 2071. 50

or, 10.50 a = 2071.50 - 307.5 = 1764

or, a = 1764/10.5 = 168

Hence, the number of adults tickets sold = a = 168.