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

Fido's share is 38 %.

Explanation:

Given,

Denver's share in the food =
`(2)/(19)`

Rest part of the food =
`1-(2)/(19)=(19-2)/(19)=(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 = (17)/(19)`

`7x=(17)/(19)`

`x=(17)/(133)`

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

`=3* (17)/(133)`

`=(51)/(133)`

`=(5100)/(133)\%`

`=38.3458646617\%\approx 38\%`