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A contest gives out prizes for first, second, and third place. First place is $\$500$ more than double third place. Second place is $\$400$ less than first place. All together, $\$1850$ is given out in prizes. How much is each prize worth?

 Mar 18, 2021
 #1
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3rd place =  x

1st place =  2x + 500

2nd place  =  (2x + 500) - 400 =  2x   + 100

 

So

 

x  + ( 2x + 500)  + (2x + 100) =  1850

 

5x   +  600  =  1850

 

5x  =  1850  - 600

 

5x  = 1250

 

x = 1250  / 5  =   $ 250  =  3rd place

 

2(250) + 100  =  $ 600 =  2nd place

 

2(250) + 500 =  $1000 = 1st place

 

 

cool cool cool

 Mar 18, 2021

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