Answer:
Equation:
[tex]15=\dfrac{1}{2}x+8[/tex]
Student ticket price = $14
Step-by-step explanation:
An adult ticket = $15
Let a student ticket = $x
An adult ticket is half the price of a student ticket plus $8, then an adult ticket
[tex]=\$\left(\dfrac{1}{2}x+8\right)[/tex]
Equate the prices for the adult ticket:
[tex]15=\dfrac{1}{2}x+8[/tex]
Subtract 8 from both sides:
[tex]15-8=\dfrac{1}{2}x+8-8\\ \\7=\dfrac{1}{2}x[/tex]
Multiply this equation by 2:
[tex]7\cdot 2=x\\ \\x=\$14[/tex]
