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

Answer:

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

Step-by-step explanation:

There are 160 animals at the shelter. You know that of this amount of animals,$\frac{1}{5}$ are ferrets. So, the number of ferrets can be calculated by:

$\frac{1}{5}*160$

To multiply a fraction by a whole number, any integer n can be written as the fraction $\frac{n}{1}$. Then you multiply the numerators and denominators. In this case:

$\frac{1}{5}*160=\frac{1}{5}*\frac{160}{1} =\frac{1*160}{5*1} =\frac{160}{5}$

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

$\frac{160}{5}$ = 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

$\frac{7}{8}$ of the remaining animals are rabbits. Then:

$\frac{7}{8}*128$

Solving in the same way as in the previous case:

$\frac{7}{8}*128=\frac{7}{8}*\frac{128}{1} =\frac{7*128}{8*1} =\frac{896}{8}$

$\frac{896}{8}$= 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.