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In a basketball freethrow contest, a man gets a dime every time he makes a basket, and pays a quarter for  each missed shot.  If he takes 100 shots and wins $5.10, how many times did he miss?

 May 30, 2020
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Let  x  =  number of times he missed the shot. (costing him 25 cents per shot missed)

Then  100 - x  =  number of times that he made a basket.  (gaining him 10 cents per shot made)

 

0.10(100 - x) - 0.25(x)  =  5.10

  10.00 - 0.10x - 0.25x  =  5.10

              10.00 - 0.35x  =  5.10

                         -0.35x  =  -.90

                                  x  =  14     <---   number of shots missed.

 May 30, 2020

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