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avatar+1833 

The golf club runs a competition.

The total prize money is shared in the ratio   1st prize : 2nd prize = 9 : 5.

The 1st prize is $500 more than the 2nd prize.

 

(i)   Calculate the total prize money for the competition

(ii)   What percentage of the total prize is given as the 1st prize?

 Feb 11, 2017
 #1
avatar+111431 
+5

9 / 5  = [x + 500] / x      cross-multiply

 

9x  = 5[x + 500]

 

9x  = 5x + 2500

 

4x  = 2500

 

x  = $ 625  = 2nd place money

 

x + 500  = $ 1125  = 1st place money

 

 

(i)    $ [625 + 1125 ]  =   $ 1750 

 

(ii)   1125 / 1750  ≈  64.3%

 

 

cool cool cool

 Feb 11, 2017

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