Write a system of equations to describe the problem situation. Use guess and check to solve the problem. On a weekend, two adult movie tickets and three student tickets cost $36.50. Three adult and two student tickets cost $38.50. Find the price of the adult ticket.
A) Adult ticket is $8.50.
B) Adult ticket is $6.50.
C) Adult ticket is $7.50.
D) Adult ticket is $9.50.
E) Adult ticket is $4.50.

Question

Quizplus · Accepted Answer

The system of equations based on the problem is 2A + 3S = 36.50 and 3A + 2S = 38.50. Solving these equations simultaneously or using guess and check, we find that the price of an adult ticket (A) is $8.50.

Write a System of Equations to Describe the Problem Situation