Central School is hosting a "Central Has Talent" show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after 1st wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money? Select all that apply.
O x + (x-50)+(x-50)
O x + (x-50)+(x-100)
O x-150
O x-100
O 3x -100
O 3x -150
The correct expressions that represent the total amount of prize money are:
1. x + (x-50) + (x-100)
2. 3x - 100
Explanation:
- The first expression represents the prize money for the first, second, and third places respectively, where the first place wins x amount, the second place wins x-50 amount, and the third place wins x-100 amount.
- The second expression represents the total amount of prize money for all three places, where each place receives x amount and there is a deduction of 100 dollars.