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Philip and Terry won first and second place in the pie-eating contest. They had to share a cash prize in the ratio 8:3. Philip received $20 more than Terry. What was the value of the cash prize?

 Sep 7, 2021
 #1
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Philip rec'd 8 out of (8+3 )    = 8 /11 of the prize

    Terry received 3/ 11 of the prize        the difference , 5/11 of the prize  = 20 dollars   

 

        or    5/11 x  = 20      solve for 'x'

 Sep 7, 2021
 #2
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P : T = 8 : 3

 

8 / 3 = (x + 20) / x

 

x = 12

 

2x + 20 = 44

 Sep 7, 2021

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