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 10.50a + 3.75b = 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?
adult tickets

Answer 1

168 adult tickets were sold

Answer 2

Answer: There are 168 adult tickets that were sold.

Step-by-step explanation:

Let the number of adult tickets were sold be 'a'.

Let the number of student tickets were sold be 'b'.

Since we have given that

The ticket sales for opening night totaled as

$10.50a+3.75b=2071.50$

And the number of students attended  = 82

so, b = 82

So, we will put the value of b in the above equation:

$10.50a+3.75\times 82=2071.50\\\\10.50a+307.5=2071.50\\\\0.50a=2071.50-307.5\\\\10.50a=1764\\\\a=\dfrac{1764}{10.50}\\\\a=168$

Hence, there are 168 adult tickets that were sold.