Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.



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.

Sagot :

CintiaSalazar

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,[tex]\frac{1}{5}[/tex] are ferrets. So, the number of ferrets can be calculated by:

[tex]\frac{1}{5}*160[/tex]

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

[tex]\frac{1}{5}*160=\frac{1}{5}*\frac{160}{1} =\frac{1*160}{5*1} =\frac{160}{5}[/tex]

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

[tex]\frac{160}{5}[/tex] = 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

[tex]\frac{7}{8}[/tex] of the remaining animals are rabbits. Then:

[tex]\frac{7}{8}*128[/tex]

Solving in the same way as in the previous case:

[tex]\frac{7}{8}*128=\frac{7}{8}*\frac{128}{1} =\frac{7*128}{8*1} =\frac{896}{8}[/tex]

[tex]\frac{896}{8}[/tex]= 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.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.