Answer:
Equation:
![15=(1)/(2)x+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xhecz4f5tcuvx0bc5x2t7zx49lh0g2xj2z.png)
Student ticket price = $14
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
![=\$\left((1)/(2)x+8\right)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2lmplhnuz34t93zqxq32pq73l3krfvqym9.png)
Equate the prices for the adult ticket:
![15=(1)/(2)x+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xhecz4f5tcuvx0bc5x2t7zx49lh0g2xj2z.png)
Subtract 8 from both sides:
![15-8=(1)/(2)x+8-8\\ \\7=(1)/(2)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eofk5mkvwbz8g9pf11a31bfcaegpslts96.png)
Multiply this equation by 2:
![7\cdot 2=x\\ \\x=\$14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8w89u6d5gb4naukf27yvn0pl1wgjkvon9x.png)