A movie theater sold adult and student tickets. They sold a total of 200 tickets. The theater sold 28 more adult tickets than student tickets. How many adult and how many student tickets were sold?

Adult = 114

Students = 86

Step-by-step explanation:

If 200 tickets were sold between students and adults (A + S = 200) and 28 tickets were sold more for adults than for students (A = S + 28), then;

A+S=200; A=S+28 →

(S+28) + S=200 → 2S+28=200 → 2S=200-28 → S=172/2 = 86

Replacing S in A

A=86+28 = 114