Question

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

Answer 1

Answer:

Fido's share is 38 %.

Step-by-step explanation:

Given,

Denver's share in the food = $\frac{2}{19}$

Rest part of the food = $1-\frac{2}{19}=\frac{19-2}{19}=\frac{17}{19}$

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

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

$4x + 3x = \frac{17}{19}$

$7x=\frac{17}{19}$

$x=\frac{17}{133}$

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

$=3\times \frac{17}{133}$

$=\frac{51}{133}$

$=\frac{5100}{133}\%$

$=38.3458646617\%\approx 38\%$