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?

Answer 1

They give you the equation to find the number of tickets as 10.50a+3.75b=2071.50. The value of b is the number of students. So you just replace b with 82 and solve for a.

10.50a+3.75(82) = 2071.50
10.50a+307.5=2071.50
10.50a = 1764
a = 168

This means that 168 adult tickets were sold.