Two-seventeenths 82639

Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch?

Correct answer:

d =  36

Step-by-step explanation:

d+z=70 d/9;z/17  9x+17y=70  x1=4 y1=2  z = 17 k2 y1 k2  N z=17 1 y1=17 1 2=34  d=4 k1 x1  d=70z=7034=36   Verifying Solution:  p1=95 d=95 36=95 36=9180=20 k2=172 z=172 34=172 34=1768=4  p1  N k2  N

The equation is a linear Diofant equation with positive coefficients

The equation has 1 positive integer solutions:

x1 = 4   y1 = 2  

Calculated by our Diofant problems and integer equations.



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