Question

illian’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

10.50a + 3.75b = 2071.50

3.75x82 = 307.50

2071.50-307.50 = 1764

10.50a = 1764

a = 1764/10.50 = 168

168 adult tickets were sold