Denver, Engle and Fido are all dogs who eat differing amounts of dog food.
Denver gets 8/19 of the dog food.
Engle and Fido share the rest of the food in the ratio 6 : 2
What is Fido's share of the dog food?
Show your answer as a percentage, rounded to the nearest percent if necessary.

Respuesta :

Answer:

25%

Step-by-step explanation:

If Denver gets 8/19 of the food, 11/19 of the food is left between Engle and Fido.

If the food is shared in a ratio of 6 : 2 between the pair, Engle gets 6/8 and Fido gets 2/8.

Thus, 2/8 = 25%.

Answer:  Fido's share of the dog food is 14.47%.

Step-by-step explanation:

Since we have given that

Part of dog food Denver gets = [tex]\dfrac{8}{19}[/tex]

Ratio of the rest of food shared by Engle and Fido is given by

[tex]6:2[/tex]

So, Remaining part of dog food is given by

[tex]1-\dfrac{8}{19}\\\\=\dfrac{19-8}{19}\\\\=\dfrac{11}{19}[/tex]

Share of Fido for the dog food is given by

[tex]\dfrac{2}{8}\times \dfrac{11}{19}\\\\=\dfrac{1}{4}\times \dfrac{11}{19}\\\\=\dfrac{11}{76}\times 100=14.47\%[/tex]

Hence, Fido's share of the dog food is 14.47%.