Question

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?

Answer 1

168

Explanation:

Answer 2

The number of adults tickets sold = 168.

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.