Question

Please help me with this please, this is due in a couple of minutes.

Answer 1

Answer:

There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.

Step-by-step explanation:

Because there are 168 animals at the shelter and $\frac{1}{4}$ of the animals are dogs, you can infer that there are $\frac{168}{4}$ or 42 dogs at the shelter. The question says that $\frac{5}{6}$ of the remaining animals are cats, which you can get two things from this statement: #1, $\frac{5}{6}$ of the remaining animals (not including dogs) are cats in the shelter. #2, $\frac{1}{6}$ of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by $\frac{5}{6}$, which would be  $\frac{5}{6}$(168 - 42) = $\frac{5}{6}$*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is $\frac{1}{5}$ the number of cats in the shelter ($\frac{5}{6}$ = $\frac{1}{6}$ * 5), that means there are $\frac{105}{5}$ or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.