Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend
![=x+8.25](https://img.qammunity.org/2022/formulas/mathematics/high-school/tjplozjnce3fve4whq4g80ry39nlz6g2xj.png)
Total cost of ticket and popcorn of three friend
![=3(x+8.25)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8qw4x8srepwfzg8kqpczg1wq2ef55lc8wg.png)
It is given that, the total amount spend on movie is $75. So,
![3(x+8.25)=75](https://img.qammunity.org/2022/formulas/mathematics/high-school/1vhzu3ftqd16iiiafxp70y7zqm2f77g4dk.png)
![x+8.25=(75)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zj9lec6iotcfhx2d3bh9c5pu4cn2sb036k.png)
![x+8.25=25](https://img.qammunity.org/2022/formulas/mathematics/high-school/h46rehtwq7troftipbfgj0iv9eu8y6gzrv.png)
Subtract 8.25 from both sides.
![x=25-8.25](https://img.qammunity.org/2022/formulas/mathematics/high-school/1g64jg2lrcwx6xojtlxnu6jvn8pa9rys4o.png)
![x=16.75](https://img.qammunity.org/2022/formulas/mathematics/high-school/khc9qkkk6j3vwqjyyxy2f509oqm2o6tj02.png)
Therefore, the cost of each movie ticket is $16.75.