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A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the most money, and each place after that wins $50 less than the previous place.

 

Create an equation that can be used to determine the total amount of prize money based on the value of the first place prize. Define all unknowns with one variable.

 

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

 

Thanks in advance smiley

 Feb 17, 2016
 #1
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Let A  be the first place prize......then we have

 

A + [ A - 50] + [A - 100 ]  +  [A - 150] + [A - 200] = 1000  simplify

 

5A - 500  = 1000    add 500 to both sides

 

5A  = 1500      divide both sides by 5

 

A = $300

 

A - 50   = $250   for second place  .....   and so on........

 

 

cool cool cool

 Feb 18, 2016

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