Question

An animal shelter houses ferrets, rabbits, and dogs. There are 160 animals at the shelter. Of the animals,1/5 are ferry’s . 7/8 of the remaining animals are rabbits

How many of the animals are dogs? Show your work.

Answer 1

There are 32 ferrets, 112 rabbits and 16 dogs at the shelter.

Explanation:

There are 160 animals at the shelter. You know that of this amount of animals,
`(1)/(5)` are ferrets. So, the number of ferrets can be calculated by:

`(1)/(5)*160`

To multiply a fraction by a whole number, any integer n can be written as the fraction
`(n)/(1)`. Then you multiply the numerators and denominators. In this case:

`(1)/(5)*160=(1)/(5)*(160)/(1) =(1*160)/(5*1) =(160)/(5)`

Now you must reduce to the simplest form. To get a simplified result, divide the numerator by the denominator. In this case:

`(160)/(5)` = 160 ÷ 5= 32

So, there are 32 ferrets at the shelter. Then, the number of animals remaining is calculated by the difference:

160 animals - 32 ferrets= 128 animals

`(7)/(8)` of the remaining animals are rabbits. Then:

`(7)/(8)*128`

Solving in the same way as in the previous case:

`(7)/(8)*128=(7)/(8)*(128)/(1) =(7*128)/(8*1) =(896)/(8)`

`(896)/(8)`= 896 ÷8= 112

So, there are 112 rabbits at the shelter. Then the remaining animals will be dogs, which will be calculated by the difference:

128 animals - 112 rabbits= 16

Finally, there are 16 dogs at the shelter.