Answer:
Fido have [tex]\frac{42}{95}[/tex] of the dog food (44.211 %), Engle have [tex]\frac{28}{95}[/tex] of the dog food (29.474 %) and Denver have [tex]\frac{5}{19}[/tex] of the dog food (26.316 %).
Step-by-step explanation:
If Denver gets [tex]\frac{5}{19}[/tex] of the dog food, then Engle and Fido share [tex]\frac{14}{19}[/tex] of the dog food. If Fido have [tex]x[/tex] of the dog food, then Engle have [tex]\frac{4}{3}\cdot x[/tex] such that:
[tex]x + \frac{4}{3}\cdot x = \frac{14}{19}[/tex]
[tex]\frac{5}{3}\cdot x = \frac{14}{19}[/tex]
[tex]x = \frac{42}{95}[/tex]
Fido have [tex]\frac{42}{95}[/tex] of the dog food (44.211 %), Engle have [tex]\frac{28}{95}[/tex] of the dog food (29.474 %) and Denver have [tex]\frac{5}{19}[/tex] of the dog food (26.316 %).
