Representing with equations

A high school is having a talent contest and will give different prizes for the best five acts in the show.  First place wins the most money and each place after that wins $50 less than the previous place.  

​Use the information provided to answer Part A and Part B.

Part A
Create a model that can be used to determine the total amount of prize money based on the amount of the first prize.

Part B
The talent contest has a total of $1,000 in prize money.  What is the amount of money for each of the five prizes?  Show your work.

---

Video Answer and Explanation:

Ask Algebra House