Final answer:
To determine the price of a student ticket, an equation is set up based on the given relationship between an adult ticket (19.00) and the student ticket (one third of the student ticket price plus 15.00). After some simple algebraic steps, we find that a student ticket will cost 12.00.
Step-by-step explanation:
The student is asked to write an equation to determine the price of a student ticket when an adult ticket is 19.00 and it is given as one third the price of a student ticket plus 15.00. Let's designate S as the price of a student ticket. According to the information given, the equation would be: 19 = (S/3) + 15. Now, we solve for S to find the price of the student ticket.
- Subtract 15 from both sides of the equation: 19 - 15 = (S/3).
- Multiply both sides by 3 to solve for S: 3 * (19 - 15) = S.
- Simplify the equation: 3 * 4 = S, which results in S = 12.00.
Therefore, George will pay 12.00 for a student ticket to the state fair.