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Anne, Ryan and Joel collect empty cans for recycling. They collect a total of 1,925 cans. Anne collects half as many as Ryan. Joel collects twice as many cans as Ryan. How many cans does Joel collect?

Answer :

Solution :
       Total number of empty cans = 1925
       Let Ryan collects x cans .
       therefore , Anne collects x/2 cans.
         Joel collects 2x cans .
we know that ,
 Cans collected by Ryan + Cans Collected by Anne + Cans collected by Joel =total number of empty cans.
      => x + x/2 + 2x = 1925
      =>  3x + x/2 = 1925
      =>  ( 2*3x + x )/2 = 1925
      =>  6x + x = 2*1925
      => 7x = 3850
      =>  x = 3850/7
      =>  x= 550

Hence cans Collected by Ryan = x= 550
         Cans collected by Anne = x/2 = 550/2 = 275
       Cans collected by Joel = 2x = 2*550 = 1100

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rupemon
Let the coins collected by Ryan = x
therefore, coins collected by Anne = 1/2 x = 0.5 x
and coins collected by Joel = 2x
According to the question:
x + 0.5 x + 2 x = 1925
=> x = 550
Cans collected by jole = 550 * 2 = 1100

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