The original amount of money shared among the three men?

Question

A sum of money was shared among Daniel, Elliot, and Frank in the ratio 5 : 7 : 8 if Frank's share was $2,781 more than Daniel's share, what was the original sum of money shared among the three men?

Answer 1

Let 5x = Daniel's share

      7x = Elliot's share

      8x = Frank's share

 

8x = 5x + 2781

 

3x = 2781

 

x = 927

 

Daniel's share = 5x = $4635

Elliot's share = 7x = $6489

Frank's share = 8x = $7416

 

Amount shared = 4635 + 6489 + 7416 = $18540