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Denver, Engle and Fido are all dogs who eat differing amounts of dog food. Denver gets 2 19 of the dog food. Engle and Fido share the rest of the food in the ratio 4 : 3 What is Fido's share of the dog food? Show your answer as a percentage, rounded to the nearest percent if necessary

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Answer:

Fido's share is 38 %.

Step-by-step explanation:

Given,

Denver's share in the food = [tex]\frac{2}{19}[/tex]

Rest part of the food = [tex]1-\frac{2}{19}=\frac{19-2}{19}=\frac{17}{19}[/tex]

The rest part is divided by Engle and Fido in the ratio of 4 : 3,

Let, Engle gets = 4x, Fido gets = 3x

[tex]4x + 3x = \frac{17}{19}[/tex]

[tex]7x=\frac{17}{19}[/tex]

[tex]x=\frac{17}{133}[/tex]

Thus, Fido's share in the dog food = 3x

[tex]=3\times \frac{17}{133}[/tex]

[tex]=\frac{51}{133}[/tex]

[tex]=\frac{5100}{133}\%[/tex]

[tex]=38.3458646617\%\approx 38\% [/tex]

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