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melamori03 [73]
2 years ago
8

Denver gets 5/19 of the dog food.

Mathematics
1 answer:
natka813 [3]2 years ago
4 0

Answer:

Fido have \frac{42}{95} of the dog food (44.211 %), Engle have \frac{28}{95} of the dog food (29.474 %) and Denver have \frac{5}{19} of the dog food (26.316 %).

Step-by-step explanation:

If Denver gets \frac{5}{19} of the dog food, then Engle and Fido share \frac{14}{19} of the dog food. If Fido have x of the dog food, then Engle have \frac{4}{3}\cdot x such that:

x + \frac{4}{3}\cdot x = \frac{14}{19}

\frac{5}{3}\cdot x = \frac{14}{19}

x = \frac{42}{95}

Fido have \frac{42}{95} of the dog food (44.211 %), Engle have \frac{28}{95} of the dog food (29.474 %) and Denver have \frac{5}{19} of the dog food (26.316 %).

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